early detection preganancy tests can tell you up to 6 days before your missed period. I would say that yeah, you could be pregnant (no reason to say you wouldn't be)
Does that mean you had sex during your period??? Hmmmm is that a normal practice?....not a normal practice for me? (sorry a bit side tracked...just curious) I would say that if that was true then you would be less likely to be pregnant. Usually (certainly not to be used all the time) women ovulate two weeks after their period, if you are tracking when you conceive it is generally that time.
Hope it all works out :)