Can you put a transmission from a 2002 Cavalier into a 1995 Cavalier?

For the 5-spd? Yes the '95 Isuzu tranny can be swapped with the newer 00+ Getrag tranny however the whole shift assembly, cables and transmission/clutch assembly must be swapped aswell. Also new transmission mounts have to be welded to mount the Getrag on the 95-99 engine. Check out J-body.org, there should be a few how-to's on that site.