Yes certainly. Is he a U.S. citizen? If he is not a U.S. citizen, in order to apply for a Social Security number he would need permission to work from the Department of Homeland Security.
Does he need the card for work purposes or another reason?
It is for another reason, we need a Social Security number to fill in a form.
In that case please refer to our " If your child does not have permission to work " section for further information.