Absolutely...sperm can survive up to a week. Only way to know is a pregnancy test
You probably won't get an accurate result until the week of your missed period though. I used First Response and tested positive the day before my period was due...and it never came of course.
You can ovulate really early or really late randomly. This happened to me. I was always super regular with my periods because I hadn't been on any form of birthcontrol in 5+ years to mess up my cycles but I ended up ovulating and getting pregnant on the 38th day of my cycle (I was trying to get pregnant so I was charting it). I am 16 weeks pregnant today. It is all possible.
Anytime you have unprotected sex there is always chance. Heck even when you use protection there is a chance.
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