Most likely you will be allowed to do it. The city or town usually sets the ordinances about projectile-firing arms on personal property.
is it legal to shoot groundhog in north carolina
yes
Only if it is legal. :)
no
No
It's not legal.
Yes, it is perfectly legal.
yes
yes any state
Contact your city government to see if it is legal.
yes
It is legal as long as you only shoot your property.