Birth control

Sooo hi ! I need help . I’ve recently had my af which was May 29-June 3. I am also on birth control pills & I take them correctly every single day , yesterday I threw up a couple of times in the morning . I’m wondering could I be pregnant if I had unprotected sex on May 19? (Please don’t judge me ,thank you ) .I just don’t know if it’s possible to get pregnant on birth control