Our cat USED to...until there was two of them. Because, now, they'll sleep for an hour or two, then start chasing each other and bounding across our faces and stomachs.
Plus, I had a bad experience with our first cat, when she was a kitten and her litterbox habits weren't finely tuned quite yet. Cat poo on your bed at 3AM SUCKS (well, cat poo on your bed at anytime sucks, really...).