I had unprotected sex 2 days ago and my period is right around the corner. If I get my period am I safe?

Normally yes, ( love medical answers ?) A light period can sometimes be a sign or result of pregnancy on the first period, esp if the sex was closer to that period.
Also a few but it is rare, have a regular period on the first one.

So maybe, most likely probably you are OK. That is a firm answer.

So yes if you get it, there is only a very very slim chance of being pregnant if you have the period, but it is not impossible.