It's possible to become pregnant shortly after your period, but it's not very likely. During or just after your period, you can conceive (get pregnant) if you have sex without using contraception. Getting pregnant is also possible if you have never had a period before, during your first period, or after your first-time having sex. No safe time of the month exists when you can have sex without contraception without risking pregnancy. It is most likely that you will conceive during times of your menstrual cycle when you are most fertile.