Is there a way you can hide someone's name without inserting a new part?

I made a GUI that's over a person's head but the name and health tags are in the way, is there a way to hide them without inserting a new head? All the scripts I find insert another head.

Every player has properties called NameDisplayDistance and HealthDisplayDistance. Setting those properties to 0 hides the name and health of everyone's character for that player.