I have been working on cars (boats and anything mechanical)for
over 45 years (yes, I am old).
Your Corolla, with proper maintenance, should go 200k without
any problem. If, however you hear a noise (usually at start up), it should be checked out.
Replacing a timing chain proactively can create more problems
since the engine needs to be opened up.
No doubt, your Corolla will go as long as you want to drive it.
Sometimes I hear a crunch at cold start-up, but I’m told it’s the starter bendix which is a common defect on the model. I’ll eventually replace the starter and drive the car until it explodes.