Short answer? What he^ said.
Can you do it? Sure. But it will probably take loads of custom work, ie; motor mounts - not just new ones, but probably new locations, as well, all the wiring and harness plus ecu for 2zz, don't forget about a tranny or making the current one work with the new one which will take some custom work and then I think your tranny is only a 5sp (may be wrong) which means you won't be able to utilize the 2zz properly and would probably be slower most of the time. Different cluth and flywheel. These are just off the top of my head. And since I don't anyone else who's done this, you'll be responsible for all the R&D and engineering for whatever custom parts you'll need.
You're better off either buying a 2zz Vibe/Matrix or replacing your 2az.