I don't think so. I know there are cases where women have a period, but usually you do not have any type of bleeding during pregnancy. and if you have no symptoms, then i would definately say no. but if you feel that it is nessary, go take a test. it will ease your mind.
Implantation bleeding can occur from 6 to 12 days following conception and "spotting" can occur off and on through the early stages of a pregnancy. However, if you are having regular monthly periods, then I would definitely say you are not pregnant. The female body can't be pregnant and have a menstrual cycle at the same time. It's just not possible.