Can i get pregnant five days before my period?

So start off, I'm on birth control but was a few hours late yesterday and today when my boyfriend and I had sex (condom used) I noticed some white sticky fluid around the opening to vagina and slighting leaking down to my butt cheeks that I wasn't sure of it was my own white discharge or some cum escaped the back off the condom. I checked the condom and there was no holes and I wiped my vagina with a warm wet rag to clean up. My period is due in five days and I have a very regular cycle since I'm on birth control so I know for sure it's going to start Wednesday in the morning (this was written Friday night). Since I'm on birth control I never ovulated and even if I did the egg would already have been dead by the time we had sex and I know sperm can only survive 3-5 days so it will be dead when my period starts but I just wanted to other inputs from others who've experienced similar situations or have more medical knowledge than me