can i have unprotected sex on the 7day off pills?

Hi,
Welcome to ehealthforum,
Most of the hormonal contraceptive pills start giving effective protection after about 2-3 weeks of regular use, hence you are recommended to use back-up protection if having intercourse during first 2-3 weeks of getting started on birth control pills. If you had been sexually active around ovulation time, you can expect chances of pregnancy. You are closer to your ovulation time after finishing with periods. Wait and watch for your withdrawal bleeding/period that should occur during the placebo pill week. If you miss your periods, or if you get abnormal periods, or if you develop any new symptoms suggestive of pregnancy, then consider visiting your doctor/gynecologist for thorough examination (to confirm pregnancy related changes/signs in body) and blood/serum HCG level test (to confirm/rule out pregnancy accurately). Stop the use of hormonal contraceptive if pregnancy is suspected, or if pregnancy gets confirmed.
Take care.