I started on day 1 of birth control pill and had protected sex (with condom) 5-6 days ago?

He wore a condom. I wasn't on period. And right after sex, I started on my day 1 of birth control pill. 

I checked the condom and it was still on place during and after sex, no tears as afar as I can remember. I wonder if there's still a chance I could get pregnant?

I'm super worried. I'm still taking the contraceptive pills each day and I'm already on day 6. 

thanks.