It you are comparing TA22 Celica to TE27 Corolla, then no there will be no difference.I trick you!
If you compare TA40 Celica to TE72 Corolla, then probably no difference either.
If you compare TA60 Celica to AE70 Corolla, then probably no difference either, but I confuse you
You are comparing 1973 TA22 Celica to 1985 AE71 Corolla, and there are a few differences. One main difference is the shifter position. The old gearbox has the shifter further forward. The output shaft spline is different also, so you would need the matching tailshaft yoke.