Period while pregnant?

Jordan

Is it possible to have a period while pregnant? I've not taken a test because I assumed there was no need because I just had my period and haven't been with anyone since my last but I've been way over sensitive to the point that I will cry at the drop of a hat and I've been getting insane heartburn just from drinking water. Neither of which is normal for me in the least. Am I crazy to think pregnancy is a possibility?