Is it possible?

To start i had sex Aug. 25 and Aug 27 and none since then. And I usually always have my period on time every month, except last month it came a few days earlier but was not as bad as every other month and didn't last but a few days. And then I have missed my period this month completely. I have been cramping but it just has not come. Is it possible that I could be pregnant and still bled last month?