Keep researching Jay.
Every transmission can bolt up to any engine
with the right bellhousing.
A V160 (MKIV Getrag 6spd) will bolt up to a 1JZ, so you're in luck. The 7M community is not. lol
There are other complications however. The MKIV's shifter linkage is roughly 6" further back than the MK3's, so it would place the shifter in the coin tray behind the shifter hole.
It'd work... it'd just look funny.
The MKIV's W58 has a remote shifter linkage to place the shifter further back to suit the MKIV, so that wouldn't work on the MK3 either.