Can I install an ABS to Corolla CE 108?

Short answer - no. The anti lock brake system is very complex and only trained professionals should be working on them. There is no way that a shade tree mechanic sould entertain installing one in a car that did not have one.

Depending on your ability you could. is it advised, no. You would be changing the computer, part of the wiring harness, all 4 brake sets at the wheels, adding the abs controller, sensors, and lots of other stuff I am sure I am missing. It CAN be done, weather or not is is economical, and advisable, is the question. I would not take on such a project myself.