Yes. But if it gets too weird call your doctor and let them know.
It's very unlikely that you'd have a normal period the first month off birth control (I'm assuming by 'birth control' what you actually mean is the combination pill - please don't use these terms interchangeably, there are many forms of birth control!). Your first 'period' will be your withdrawal bleed as normal, but after that it may take a few months to get a real period again. It can also take up to 12 months for your cycles to regulate again once you stop using hormonal birth control.
You should still get a period while taking birth control pills. Your period usually occurs during the placebo week of pills. If the birth control was not taken properly, then there may be a chance of pregnancy, which delays your period. If you have not gotten your period during the placebo week, your should take a pregnancy test.
If this is your first month on birth control and you have not missed any pills, then see your Doctor. If you have missed pills or took too many pills, then this is why your period hasn't arrived. A period not arriving during the first month of birth control is not uncommon and can be due to your body becomming used to the medication or pregnancy. If you had unprotected intercourse during the first month of taking birth control then I would recommend you perform a pregnancy test.
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