user10444: If white has the next move, can black still win the game? The players accepted the draw here, but I am not sure if it is still a draw.
[fen "8/8/3k4/4NK2/8/8/8/6r1 w - - 0 1"]


user10490: The black king and the rock are too far away from each other for the knight to have a fork. and no more pieces to have a tactic or coordinate an attack or promote a pawn. Black will always have the advantage of long range attack (that's why the rock valued for more points as it can attack larger number of squares) So the knight movements will always be restricted. 
So in nutshell no hope for white player to achieve anything more than a draw. 

user4362: This is a tablebase draw.
But speaking from experience it can be pretty difficult to defend for white, especially if you are playing on increment. 

user7297: No, this is a draw. These kind of positions can be checked with an online database, e.g. this one.
In general, King+Rook vs. King+Knight is only a win for the side with the Rook if the other King is cornered or separated from its Knight, as also described in this answer. Just play around a bit with the endgame database to get a feeling which positions are drawn and which ones are won. Black to move wins in this particular position only because of some short term tactics (Rf1+ and Re1+ wins the Knight).

10444: <p>If white has the next move, can black still win the game? The players accepted the draw here, but I am not sure if it is still a draw.</p>

<pre><code>[fen "8/8/3k4/4NK2/8/8/8/6r1 w - - 0 1"]
</code></pre>
 10490: <p>The black king and the rock are too far away from each other for the knight to have a fork. and no more pieces to have a tactic or coordinate an attack or promote a pawn. Black will always have the advantage of long range attack (that's why the rock valued for more points as it can attack larger number of squares) So the knight movements will always be restricted. </p>

<p>So in nutshell no hope for white player to achieve anything more than a draw. </p>
 4362: <p>This is a <a href="http://www.k4it.de/?topic=egtb&amp;lang=en" rel="nofollow">tablebase</a> draw.</p>

<p>But speaking from experience it can be pretty difficult to defend for white, especially if you are playing on increment. </p>
 7297: <p>No, this is a draw. These kind of positions can be checked with an online database, e.g. <a href="http://www.shredderchess.com/online-chess/online-databases/endgame-database.html" rel="nofollow noreferrer">this one</a>.</p>

<p>In general, King+Rook vs. King+Knight is only a win for the side with the Rook if the other King is cornered or separated from its Knight, as also described in <a href="https://chess.stackexchange.com/a/4981/7297">this answer</a>. Just play around a bit with the endgame database to get a feeling which positions are drawn and which ones are won. Black to move wins in this particular position only because of some short term tactics (Rf1+ and Re1+ wins the Knight).</p>
