No. It almost certainly will not work. They're not the same size differential. 3rd gen Tacomas are 8.75" ring gear. 4Runners are 8.2" ring gear. But I say give it a shot. If it fits - awesome. New option for us!
Also the new locker is internal operation. I have no idea how the solenoid is controlled through the ECU.
What I am very curious about - if you're willing to try it - is to see if the 4runner outer assembly (bearings, brakes, and axle shafts) will bolt onto the Tacoma housing. If that's the case - then it's a very viable upgrade to the 8.2. It will still require all new mounting hardware to go from leaf spring to link and coils. But it's a stronger axle.
Good luck.