Can I Add My Maiden Name To My Sons?

I put my sons last name as Esparza (which is my exs). Now we were married but now I'm getting divorced and would like to add my MAIDEN name to my sons last name. That way he has my exs name and then mine! I know i should have done it at birth but i was so badly drugged up i could barely sign the papers. My question is can I ADD my MAIDEN name to my sons last name?!!