If raccoons come and go in your neighbourhood, provided that shooting with firearms is allowed and you have the licence, there's no problem with coon hunting. Hunting aside, you may not trap the creature without being a registered trapper.
According to the BC Government's synopsis regarding hunting and trapping regulations, you can use rifles and bows for hunting raccoons. No shotgun hunting is permitted. Besides, you may choose to hunt raccoons with your dogs and other exclusive approaches we will elaborate on later.