No, it is not possible for a woman to have a menstrual period while being 5 weeks pregnant. Menstruation occurs when the lining of the uterus sheds in preparation for a new cycle, but during pregnancy, the body stops ovulating and menstruating. However, some women may experience light bleeding or spotting during early pregnancy, which can be mistaken for a period. This is known as implantation bleeding and is usually lighter and shorter than a regular period. If you are experiencing any bleeding or have concerns about your pregnancy, it is important to consult with your healthcare provider for further evaluation and guidance.