Hi there!
I know a lot about Corolla Gt-s, I prolly know more about this car than I know about my '87 Celica Gt-s, anyway, let's get down to business.
Okay, so, I doubt you can put a supra engine in your Corolla gt-s for 2 main reason : #1 - A supra engine is 6 cylindre, wayyyyy larger than a 4 cylinder. #2 - You'd have to adapt you chassis for the new engine, wich would need a lot and a lot of work.
BUT!
If you have a Corolla Gt-s 1986, you have a strong weapon in hand, you could add a real race ready engine, that pops around 165 hp on it's own, that's without the exhaust system etc.
The engine is mostly the same (i.e: 1.6L, 16v, twin cam) but with the add of a Super Charge, wich is way more powerfull than a turbo (Turbo sucks!) so for around 3000$ you could have a 200bhp Corolla and smoke all those civics out there! Think about it!
- = Honda Rider's can bite my hairy @ss = -