I had sex 2 days before my ovulation and i had sex a day after ovulation and is it possible i could be pregnant?

Yes: Best (most fun) way to get pregnant is to have unprotected sex, especially around your ovulation. So, yes, it's possible that you could be pregnant from having sex 2d before & 1d after ovulation. No need to take home pregnancy test until you're late. if you don't want children, use some form of birth control eg IUD, shots or pills. If you don't want STDs, make him wear condom each & every time.