Is it normal to feel the bar of your belly button piercing?
Depends.It depends
It can be normal to feel the bar when you touch the area, especially if the skin there is thin. If the skin over it is getting thinner or the bar is becoming more visible, it may be migrating and is worth having checked.
If you mean you can feel the jewelry under the skin when you gently touch your navel, that can be normal. The bar sits through a small fold of skin, and how noticeable it feels varies from person to person.
Pay attention if the skin over the bar looks thinner, the jewelry seems to be moving closer to the surface, or you have increasing redness, pain, swelling, or discharge. Those can be signs of irritation or migration, so have a reputable piercer or healthcare professional take a look.