If you don’t want to get pregnant, the answer is NO - your period is not automatically a “safe” time to have sex. Cycles can and do vary. If you happen to ovulate a little early, you can get pregnant, even during your period. For example, let’s say you have unprotected sex on day 4, then you ovulate on day 6. There is a small, but still significant, chance the spermes could reach an egg because sperm can stay alive for up to five days in your reproductive tract.