BUG: pyarrow duration arrays constructed from data containing NaT can overflow
- [x] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature
- [x] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [x] Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.
- [x] Added an entry in the latest `doc/source/whatsnew/v2.0.1.rst` file if fixing a bug or adding a new feature.

The underlying bug is upstream: https://github.com/apache/arrow/issues/35088

Fixes the following:
```
import pandas as pd
import pyarrow as pa

data_ts = pd.to_datetime([1, None])
data_td = pd.to_timedelta([1, None])

ser_ts = pd.Series(data_ts, dtype=pd.ArrowDtype(pa.timestamp("ns")))
ser_td = pd.Series(data_td, dtype=pd.ArrowDtype(pa.duration("ns")))

result = ser_ts + ser_td  # ArrowInvalid: overflow
```
thx @lukemanley  Owee, I'm MrMeeseeks, Look at me.

There seem to be a conflict, please backport manually. Here are approximate instructions:

1. Checkout backport branch and update it.

```
git checkout 2.0.x
git pull
```

2. Cherry pick the first parent branch of the this PR on top of the older branch:
```
git cherry-pick -x -m1 4539f3eff40f0889b1e089c68cfe2a0b034d7ec9
```

3. You will likely have some merge/cherry-pick conflict here, fix them and commit:

```
git commit -am 'Backport PR #52843: BUG: pyarrow duration arrays constructed from data containing NaT can overflow'
```

4. Push to a named branch:

```
git push YOURFORK 2.0.x:auto-backport-of-pr-52843-on-2.0.x
```

5. Create a PR against branch 2.0.x, I would have named this PR:

> "Backport PR #52843 on branch 2.0.x (BUG: pyarrow duration arrays constructed from data containing NaT can overflow)"

And apply the correct labels and milestones.

Congratulations — you did some good work! Hopefully your backport PR will be tested by the continuous integration and merged soon!

Remember to remove the `Still Needs Manual Backport` label once the PR gets merged.

If these instructions are inaccurate, feel free to [suggest an improvement](https://github.com/MeeseeksBox/MeeseeksDev).
                