Is it possible to have your period while being pregnant?


Last month I had my period but I was feeling very nausea & tired. Didnt think I was pregnant. This month I was a day late & I decided to take a pregnancy test for some odd reason. I took 3 & they all were positive. Im not feeling nausea or “pregnant” how I did with my first pregnancy. Now my question was I pregnant last month & had my period?