Use fewer fingers where possible, and work on technique where you can't. So for an A chord, I see a lot of people jamming 3 fingers in there to make the chord. I use 2 or 1 depending. That's one thing to look for so you have less flesh competing for space.

Otherwise, practice because it can be overcome. I was watching this local dude on the New years stuff and he had seriously sausage fingers. I mean he was a [u]big[/u] guy and a finger could easily fret 2 strings. And yet he pulled off. He was awesome, in fact.

So it can be done! :)