Terrified of getting pregnant?

I’m a college student and I became sexually active about 4 months ago. We’ve just been using condoms and pulling out and have been fine so far. We’re very careful but I know there’s the 1% chance I could get pregnant. My parents don’t even know I’m having sex and I wouldn’t want them to know if I had an abortion. Is it possible to get one by paying out of pocket and leaving no paper trail? I track my periods carefully and if I feel something is off I take a pregnancy test because I would want to catch it early. I hope I don’t sound callous or inhumane but I’m just curious on how that works