Can i get pregnant 6 days before ovulation after unprotected sex?

No 6 days: Before is too early but 2-3 days before or after ovulation is within fair limits

Unlikely: Probably not. Sperm only live about 5 days once inside the vagina/uterus and even if the sperm had survived longer and reached the uterus by the time you ovulated 6 days later, the egg would not have likely had time to travel down the fallopian tube before the sperm died. BUT this is all assuming you know for a fact that you ovulated exactly 6 days after you had unprotected sex.

Unlikely: Sperm stay viable in the female reproductive tract for 2-3 days so it is unlikely that you could get pregnant from intercourse 6 days before ovulation. The problem is you have to be sure when you will ovulate. If your menses are not regular and you ovulate earlier than you think you could get pregnant.