[Phredd (OP)]

 I Imagine not, that the forces would become too strong as they got closer. I Just idly wondered if this could be done and what the result would be if it could be done.

[chiralSPO]

It certainly can be done. Of course the stronger the magnets are, the more force is required to push them together, but with your average "fridge magnet" your hands should be strong enough to force them together (just don't let go, or they may fly apart!) I played with magnets like this a lot as a kid, and there are some pretty interesting effects one can get (especially with arrays of magnets).

[Bored chemist]

It certainly can be done.

Unless it can't.
The ends of a magnet can be forced into contact, but the poles aren't necessarily at the ends.
Have a look at this picture of the field of a magnet  shown by iron filings
https://en.wikipedia.org/wiki/Magnet#/media/File:Magnet0873.png

The "lines" don't point at the ends of the magnets, but at points a little bit in from the ends (roughly half way between the ends and where the letters N and S are).

Since the poles of any real magnet are actually inside it, you can't put them in contact.