I have a KE25 and I am pretty sure the TE27 would have had a better diff fitted as standard given that it had a gruntier T-series engine (I am assuming by "rear end" you are referring to the differential??). The diffs that we get in our KE20's and 25's would not hold 200 rear wheel horse power well at all.
My car was initially "upgraded" to a diff from an RA23 celica, with approximately 200hp at the wheels the axles in that diff were lasting less than 2 hours of rather sedate driving (it broke 4 axles in about 6 hours of driving).
So having had the experience of a diff MUCH larger than the standard KE25 corolla diff breaking so easily I would not hold much hope for the standard diff doing very well at all with that sort of power.
My current diff has been in the car for nearly 2 years and handles about 250 hp at the wheels (over 300hp at the engine) without a problem, it's not a toyota diff though.
So the short answer would be no it will not last with the power you are talking about unless you drive it very carefully.