Yes, it is very possible. You would have been ovulating during that time which is the most fertile period of the month. I'd take a test once your period is late.

In the future, USE PROTECTION. If you are sexually active, you should get the pill, patch, implant, IUD, ring, etc. Get your partner to buy condoms too.

What do you mean he didn't come inside you, of course he did as he is releasing sperm as soon as he is aroused and when he pulls out he leaves a few thousand sperm as to over 100 million when he does come but it only takes one sperm to get you pregnant, Good Luck