Is it possible to have your period and be pregnant?

Sasha

My husband and I have been trying to conceive after a loss. I got my period three days early this month, bled for five days and thought I was out. It's been only three days since my period But I am continuing to have bad cramps, tender breasts and then started getting nauseated so I took a test and got a faint positive....Is that even possible? My period stopped only three days ago...