user2258: In the pawns-only variant of chess, each side starts with 8 pawns and a king on the usual squares, no pieces,
with other rules being the same as in regular chess, including promotion.
While general consensus is that chess is a theoretical draw, with best play by both sides, this is not proved because of
its complexity.
The pawns-only variant looks more amenable to computer analysis.
In the pawns-only variant, is it possible for Black to imitate White or otherwise create a blockade?
Is the pawns-only variant a theoretical draw? 

user2001: Yes, my guess would be that the pawn-only chess variant is a draw with exact play from both sides. Yet, it is of course possible to win for either side, as long as you know what plans to choose between. Since the kings are the only pieces left on the board (apart from the pawns), they will play a key role. The goal will be to create weaknesses in the enemy pawn structure and invade them with the king. Also, to have a good understanding for which pawn endings that are drawn and which ones that are won (e.g. the distanced passed pawn). So while it is objectively drawn, it is still hard to play over the board against a skilled opponent.

user1543: EDIT: Now that I look closely, I have solved a different variant than what was asked. Probably this is interesting anyway :) The variant's rules are described here: http://www.chesscorner.com/tutorial/basic/pawngame/pawngame.htm
I have written a piece of software to solve this. Contrary to my and other people's expectations, and barring bugs, it shows that the game is actually a win for white. Without en passant it was a draw.
The only winning opening moves for white are 1. b4 and 1. c4 (and the symmetric 1. f4 and 1. g4).
Curiously, all other white opening moves are a win for black. 1. d4 is refuted by 1. ... b5 0-1; all other black responses are wins for white.
I put the code here: https://github.com/sliedes/pawnsonly. With the default setup it uses 25 gigabytes of memory for the transposition table and I seem to remember it takes a few hours to solve the 8x8 case. I have not tested how slow it is with less memory.
Here are some results of the first two or three moves:

First two full moves (small text file)
First three full moves (5 megabytes gzip compressed, 75 megabytes decompressed)

Some of the lines end with "1/2-1/2+" or "1/2-1/2-". "1/2-1/2+" means that white can force at least a draw, and no further search was done because this information was enough for perfect play from the starting position (so it might also be a white win). Correspondingly, "1/2-1/2-" means that black is able to force at least a draw.

user2250: I setup the position using this FEN String
4k3/pppppppp/8/8/8/8/PPPPPPPP/4K3 w - - 0 1

Using a grid engine cluster with 24 nodes, each node having 16 cores at 3.2 Ghz with 60gb of ram
The engine used was Houdini 4 pro (allowing multiple cores)
After analyzing for several days ( 4 days 12 hours 2 minutes and 15 seconds to be precise)
the engine scored the position 0.00 flat with the suggested move line
1.d4 d5 2.Kd2 Kd7 3.Kd3 Kd6

Of course this is not nearly a bruteforce method, but i believe it is safe to say this is a draw. Of course @Rauan Sagit is correct. Correct play comes with intimate knowledge of pawn endings and will be even harder to achieve correct play against a skilled opponent

2258: <p>In the pawns-only variant of chess, each side starts with 8 pawns and a king on the usual squares, no pieces,
with other rules being the same as in regular chess, including promotion.</p>

<p>While general consensus is that chess is a theoretical draw, with best play by both sides, this is not proved because of
its complexity.</p>

<p>The pawns-only variant looks more amenable to computer analysis.</p>

<p>In the pawns-only variant, is it possible for Black to imitate White or otherwise create a blockade?
Is the pawns-only variant a theoretical draw? </p>
 2001: <p>Yes, my guess would be that the pawn-only chess variant is a draw with exact play from both sides. Yet, it is of course possible to win for either side, as long as you know what plans to choose between. Since the kings are the only pieces left on the board (apart from the pawns), they will play a key role. The goal will be to create weaknesses in the enemy pawn structure and invade them with the king. Also, to have a good understanding for which pawn endings that are drawn and which ones that are won (e.g. the distanced passed pawn). So while it is objectively drawn, it is still hard to play over the board against a skilled opponent.</p>
 1543: <p><strong>EDIT</strong>: Now that I look closely, I have solved a different variant than what was asked. Probably this is interesting anyway :) The variant's rules are described here: <a href="http://www.chesscorner.com/tutorial/basic/pawngame/pawngame.htm" rel="noreferrer">http://www.chesscorner.com/tutorial/basic/pawngame/pawngame.htm</a></p>

<p>I have written a piece of software to solve this. Contrary to my and other people's expectations, and barring bugs, it shows that the game is actually a win for white. Without en passant it was a draw.</p>

<p>The only winning opening moves for white are <strong>1. b4</strong> and <strong>1. c4</strong> (and the symmetric <strong>1. f4</strong> and <strong>1. g4</strong>).</p>

<p>Curiously, all other white opening moves are a win for black. <strong>1. d4</strong> is refuted by <strong>1. ... b5 0-1</strong>; all other black responses are wins for white.</p>

<p>I put the code here: <a href="https://github.com/sliedes/pawnsonly" rel="noreferrer">https://github.com/sliedes/pawnsonly</a>. With the default setup it uses 25 gigabytes of memory for the transposition table and I seem to remember it takes a few hours to solve the 8x8 case. I have not tested how slow it is with less memory.</p>

<p>Here are some results of the first two or three moves:</p>

<ul>
<li><a href="http://sliedes.kapsi.fi/pawnsonly/pawnsonly-moves-d4.txt" rel="noreferrer">First two full moves (small text file)</a></li>
<li><a href="http://sliedes.kapsi.fi/pawnsonly/pawnsonly-moves-d6.txt.gz" rel="noreferrer">First three full moves (5 megabytes gzip compressed, 75 megabytes decompressed)</a></li>
</ul>

<p>Some of the lines end with "1/2-1/2+" or "1/2-1/2-". "1/2-1/2+" means that white can force at least a draw, and no further search was done because this information was enough for perfect play from the starting position (so it might also be a white win). Correspondingly, "1/2-1/2-" means that black is able to force at least a draw.</p>
 2250: <p>I setup the position using this FEN String</p>

<pre><code>4k3/pppppppp/8/8/8/8/PPPPPPPP/4K3 w - - 0 1
</code></pre>

<p>Using a grid engine cluster with 24 nodes, each node having 16 cores at 3.2 Ghz with 60gb of ram</p>

<p>The engine used was Houdini 4 pro (allowing multiple cores)</p>

<p>After analyzing for several days ( 4 days 12 hours 2 minutes and 15 seconds to be precise)
the engine scored the position 0.00 flat with the suggested move line</p>

<pre><code>1.d4 d5 2.Kd2 Kd7 3.Kd3 Kd6
</code></pre>

<p>Of course this is not nearly a bruteforce method, but i believe it is safe to say this is a draw. Of course @Rauan Sagit is correct. Correct play comes with intimate knowledge of pawn endings and will be even harder to achieve correct play against a skilled opponent</p>
