Need some insight, pretty please?

I am on birth control and was on the sugar pill last week and had my period. I was out of town all week and got home on Saturday. I couldn't get my refill until today because of the long weekend and well let's just say the husband and I couldn't keep our hands off each other cause we hadn't seen each other for a week and a half. We don't use condoms anymore cause we just trust the BC way too much haha so we had sex Sunday and Monday. I started taking my new set of pills today. You think there's a chance we could be pregnant that quickly in between those sets of pills?