sperm in general lives for 5 days depending on the acidity of the vagina. some women have cm but not nesassary fertile mucas.if you ovulate few days after period then yes you would get pregnant.but in general you need to be ovulateing or near ov to concieve.
I ovulated a few days after my period was over and sperm can live up to 7 days! So for me, having sex on my period or right after is a high possiblity of getting pregnant. Having sex w/out protection is always a possiblity of getting preg.
Generally women ovulate roughly day 14 or so,it really depends on your cycle if your for instance 28 days then chances are no.you need to be ovulating to get pregnant,sperm can live for up to 5 days,in side you,so if you were due to ovulate within few days after period its possible,probably unlikely,wait till period is due and take a test.