I wouldn't recommend doing it for a very long time, but in a pinch...
It shouldn't be a big deal if you have open differentials. If you've got a limited slip it will prematurely wear out the clutchs.
It'll destroy a locker.
I had to do it once. In fact, at the time I had 33's and I messed up three of my four. I used my spare, I plugged another one, but when the third tire went out on me I did what I had to do. I borrowed the only spare that was my same bolt pattern. It was a 35" tire. So I aired the 33" tire all the way up, and the 35" all the way down.
Search around for a used, bald tire. It shouldn't be that much money from some tire shop. Check at your local Les Schwab or Discount. Even a crappy all-terrain would be better than nothing.