As noted above, its been done plenty of times. Johnymd on this forum has had a 1JZ 240Z for a long time and developed it into quite a weapon (and not just for in a straight line or dyno run bragging...).
Go forth and read this and other threads on HybridZ:
https://forums.hybridz.org/topic/60...ion-instructions-for-dummies2-weeks-drive-it/
I'd check your options on the 71C gearbox; as franky says, countless boxes have been nuked when attached to tuned SR20DETs, so may not be the best option if you are going big. Plus, those of us that like to retrofit them to S30Zs as an upgrade over the original boxes don't need the supply further shrinking by turbo-ed yobbos wrecking even more of them!!!
The other question you should ask yourself is why you would want to build a engine swapped Z? A built or turbo'ed L-series is quite capable of going more than fast enough for the chassis in question. Also, there are a lot of things to deal with before you even get to dropping an engine in, assuming you start with a project car. People don't tend to buy a nice, running, driving Z and then engine swap it. Buying a JZ engine would be the cheap bit. Restoring a project shell - £££££.