No.

According to the query on the steam platform: the name tags in CSGO will only be displayed on the weapon and equipment names on the right HUD, and will not be directly covered on the skin. Therefore, the name tag does not cause occlusion on the skin.

The name tag in CSGO is a prop card used to rename weapons. Players can purchase name tags in the in-game store, then open and use them in their inventory to change the name of their firearm.