Yes, tailor can be used to describe the customization of a computing system.
I started by looking up the word on OneLook, a helpful website that provides links to several online dictionaries. One of those links – the one to Wordnik, shows this meaning:
To make or adapt (something) for a specific need.
I can see why tailor would be a tricky word for a learner, because most of the definitions deal with tailoring suits and clothing. It would be easy to look up that word in a dictionary and wonder if applying it more figuratively to a computer system would be too much of a stretch. Yet Google can provide other examples where the word is used in such contexts, including this sentence from a U.S. Patent (emphasis added):
Each user may tailor the configuration file to his or her own needs rather than having to utilize a mass produced configuration file that that may not be suitable for each individual user's needs.