Possible pregnancy ?

My fiancé and i are trying. We had sex Sunday aug 26th. He came inside of me that morning. We had sex again Friday aug 31st and he came inside of me again. My period is supposed to be due around September 6th. Is there a possible chance i could get pregnant or is it too close to my period being due ? I’ve been told you can’t get pregnant a week before your period. Not sure if that’s true or not ....?