It is possible. But usually it's more like spotting than heavy bleeding. Do you have other symptoms such as sore/tender breasts, nausea (anytime), fatigue? Sore breasts were my first symptom. Then I began morning sickness at 5 weeks. I am now about 20 weeks.
It may be possible, but I would call your Doc this morning and talk to them for sure. Are you pregnant--did you have a positive test?
But regardless, call you Doc this morning and speak to somewhere there, that would be your best bet.