Anything is posiable, but I don't think putting a 2ZZ-GE engine with 6 speed into a older corolla is a backyard job. Maybe in 20 years people will have it figured out, but I don't know if anyone has done it yet. You need a full workshop and experience to do this conversion, as you could need custom axles or something like that, you never know. You may need the Celica shafts and struts also, not sure. Custom engine mounts for sure, and getting the engine hanging in the right spot could be trickly, but not a problem for the experienced.
If you already have a 1ZZ-FE corolla, then the 2ZZ-GE should just bolt in.