I Already Messaged You On Facebook But I Was Hoping

I already messaged you on facebook but I was hoping to get a faster reply here. I just wanted to share about my situation now. On september I finished taking my pill but it took me 4 day to start a new pack so on October 22 I got my menstruation and I had unprotected sex on the first day of my period only to realuze I missed my 4th inactive pill. The next day I bought a new pack and started with the 1st pill only to find out I was only supposed to disregard my missed inactive pill and finish the other inactive pille before I could start a new one. Are there any chance that I might get pregnant bcoz of unprotected sex during my first day of period and missed pill?