No, babies are only born with one set of teeth, called their primary (baby) teeth. These teeth are hidden inside their jaws beneath their gums. Permanent (adult) teeth begin to form and grow around 6 years old.No, babies are only born with one set of teeth, called their primary (baby) teeth. These teeth are hidden inside their jaws beneath their gums. Permanent (adult) teeth begin to form and grow around 6 years old.