it depends when you ovulate. not every woman ovulates at the same time. so yes it's entirely possible. if the period wasn't normal i.e. no clots, not as heavy, not as long, than yes you could very well be pregnant. if it was normal for you than you are probably not pregnant. they ONLY way you will be 100% sure is to take an hpt.
You could be pregnant, and bleed around the time you would of normally got your period, but it wouldnt actually be classed as a 'period' if you were in face pregnant. Many women get pregnant, and bleed for a little or few days when they would of normally got there period.