Well, a swapping a 1JZ into a Corolla would mean you'd have to convert it to rear wheel drive. That's a whole other task that you will have to face and decide if it is worth it or not. Plus, being that a 1JZ is an inline 6, the engine probably wouldn't fit in the engine bay without modifying the firewall. Don't get me wrong, this is all possible to do but it will take a lot of money, time, research, and skill.
If you are asking this because you want to build your Corolla to make more power, why not consider the following. You could turbo the 2ZR-FE with the turbokit from TKC.(
https://turbokits.com/) Many people have forced induction on their 2ZR Corolla and the results are always good. The 2ZR is a good engine to add power to but depending on how much power you want, you'll have to pay for it. IF you do want to swap the engine, consider options such as the 2ZZ-GE which is from the 9th gen XRS or even a 2AZ-FE which is a direct swap from the 10th gen XRS. Both will be swappable without major modification.