Can you feel the baby in the first week of pregnancy?

No. In your first week of pregnancy, the embryo in your womb is not even as large as a poppy seed (you don't hit poppy seed size until roughly 3-4 weeks). It's impossible to feel something so small move. Second time moms can generally feel their babies around 14 weeks pregnant. First time moms, much later. Between 16 and 22 weeks.