Can I be pregnant and have my period?

Okay so I had my period in late august. My boyfriend and I had unprotected sex a lot at the beach and I was kinda surprised I got my period in august. But now I'm 3 days late in september. Is it possible to have a full blown period while pregnant? I feel like since I'm only 2-3 days late I should wait about a week but what are your thoughts? ?