Can you get pregnant on your week off from birth control?

Yes, skipping pills in the last week of a pack is likely to drop your hormone levels that are suppressing ovulation - when this happens you are very likely to conceive if you are sexually active.

It is imperative that you use another form of BC at this time if you wish to prevent a pregnancy. Depending on what pill you are taking you may be able to start your next packet of pills without taking the week of inactive pills - ask your doctor or pharmacist if this applies to the brand you use.