OK ... Assuming the 3RZ was the original engine in the 2000 Taco, that tells me what I need to know to ID the donor tranny. The 2000 would be a 6-lug PreRunner. The 6-lug chassis is slightly different from the 5-lug chassis (engine and tranny mounts, if I recall correctly ... ), and this may make for additional problems in fitting up the donor tranny.
The automatic transmission in a 5-lug 2002 mini (either cab style) is an A44D.
The automatic transmission in a 6-lug 2000 PreRunner (either cab style) is an A340E.
These are different units from different transmission series. They're both Aisin A-series trannies, but they're different beasts.
Autos aren't my thing, but FWIW here's what I believe would be the issues in trying the tranny swap ...
PROBLEM #1:
I can't find any dimensions diagrams for these trannies, so I can't compare their lengths. If I'm not mistaken the A340 series trannies are longer than the A44 series. This would mean there would be fitment issues and maybe a need to come up with a different - maybe even custom - driveshaft setup.
PROBLEM #2:
Both these auto trannies are electronically controlled (ECT). I have no reason to believe the same ECT controller unit is used for both, and I strongly doubt there's one controller for both. I have no idea what would be involved in transplanting the ECT controller and rewiring things to make the ECT functions work in the recipient vehicle.
PROBLEM #3:
As far as I can tell, the transmission mounts are different for 5-lug and 6-lug Tacos, so you may be looking at some chassis surgery just to mount the A340E.
PROBLEM #4:
Most 2RZ / 3RZ swaps (that I've seen here on CT ...) have kept the A44D (2RZ) tranny. This requires swapping bell housings (and maybe some additional tweaks) so that the engine and tranny mate up and fit in the recipient vehicle.
I'll stop there, even though I suspect there are additional problems that will have to be addressed.
Bottom Line: FWIW this looks to me like a swap that's going to involve a lot of adaptations and maybe some surgery.
Auto-to-auto swaps haven't been that common, so there's not a lot of posted experience and tips to draw on.
My vote is 'No'.