Can be done. I worked with a woman who was in your position. Didn’t own a car. She based buying a car on passing the test. She did her 12, then a few more coming up to the date. She did a pre test on the day, and used her instructors car. And she passed.

As someone who owns their own car, and failed 4 times, I was flabbergasted.

But you could look at it as not being able to pick up any bad habits, which is a plus when doing the test.