Well I have problems and I was 2 months late for my period. Well I had unprotected sex 5 times and started my period 3 days later I was wondering is there still a possibility that I could be pregnant?

It's not possible to be pregnant and have your period at the same time, because these functions exclude each other. It is however possible that you're pregnant and that instead you've suffered from vaginal bleeding, which may seem similar but is something different.

To be perfectly safe and certain of your situation, I'd still recommend an approved pregnancy test.