My girlfriend stopped having her periods but she hasn't had sex and it's been two years since her last period. If we have unprotected sex is there still an opportunity for her to get pregnant?

I am in my early 20s and recently had to stop taking the contraceptive pill because of a medical reason. Now that I am medically ok again, I planned to re-start the pill at some point this week. However, me and my BF of 2 yrs got drunk last night at a party and stupidly had unprotected sex. I am too embarrassed to go to a doctor and ask for a Plan B pill I have heard that if I take two contraceptive pills now (or asap) then it acts in the same way a morning after pill does...is this true?