I agree with Jinny: Practice can do the trick. I'm a guitarist with fat fingers, and when I first played an inherited soprano uke (an oldie with a narrow neck) I said, "are you kidding me??". But in little while I found I can play all the open and moveable chords I've encountered, "jazz" chords and everything. You can always find a way. And now my limitations as a player have nothing to do with fat fingers. Not only that, but I just adore picking up this thing. Guitar is still a chore, but not the uke!