skip period with bc pills ?

Right now I'm on my period(started like 2 days ago) and I start my new pack of pills on Tuesday, and I wanted to know if I could start the new pack a few days earlier, will it stop my period ? Me and my SO are going to be alone sometime this week but I cant have sex while on my period, he's okay with it but I'm just not comfortable. Will starting the new pack stop my period right away ? Or will it just mess up with my body?