Depends on the bank.
It should work you would need a longer drive shaft and a longer torque arm or c-beam, a new flexplate and torue converter, plus the Corvette 700R4 has a unique tailshaft housing to accomidate the torque arm. Dont forget the proper speedo gears for the tranny, and the shifter, tv cable, ect.
You may want to look into replacing the 4+3 with a ZF, ROD, or a T-56 from a F-body. I would guess it would be the same price either way. You actually have it easier, trying to go from auto to manual is tougher.