Daughter has bacterial pneumonia and step bacteria was identified. is it contagious? especially if coughed on?

Not particularly: Many of us have strep pneumo germs in our nasal passages periodically as hitchhiker germs. They can sit there and do nothing or take advantage of a deep chest cold and trigger pneumonia. Some germs like chickenpox travel easily in the air and transfer easily, this does not. Simple droplet precautions avoid transfer, but even if you have some on board, you don't necessarily get sick.