Can you get pregnant if he rubs his penis against your vagina 4 days before your period?

Any time there is genital contact between opposite sexes, pregnancy, as well as STD's is a possiblilty, HOWEVER, the fact that your period arrived 4 days later indicates that it is completely likely that you were not ovulating at the time. This is not a definitive result and testing for pregnancy and STD's (which do not necessitate ejaculation most of the time) is encouraged.