My one week old newborn poops after almost each feeding - is that normal?

Yes: A young baby usually poops after every feeding or after every-other feeding (averaging 3-4 poops a day). As the weeks go by, babies tend to poop less often, some twice a day while others once every-other day. As long as a baby is normal in eating, growth, and development; and does not have constipation, bloating, or tummy aches; the number of poops per day is not very important.