I just restarted taking birth control pills an had sex the 2-4 days of the first week, could i get pregnant during this time?

Birth Control Pills: I believe there is a small risk of pregnancy during the early days of taking bcps. I don't know the brand you are on so cannot comment farther, but your pharmacist may know more specifically.

Possibly: It takes a month to get protection from the pills so you had unprotected sex and any te you have unprotected sex you are at risk.

Pregnancy concern: If you didn't take your birth control pills for a full month prior to sexual activity and you sex occurred during the "high risk days" of the cycle, you may get pregnant.