I got a 93 toyota 4x4 pick-up with 31's on it right now and i was wondering if anyone knows if you can fit 33's on there without any lifts, or without any problems. and what kind of tire should i look for, for an off-raoding tire

With no lift you will have rubbing. Get a 2-3" body or suspension lift.

As for tire type, depends on what type of offroading. An all-terrain may do, or you may need a more agressive mud-terrain type.