Except as permitted under the Urban Wildlife Management, no person shall injure, capture or destroy any squirrels or birds, or hunt or trap any game or wild or domestic animals, within the Municipality. Provided that any property owner whose property is being damaged by wild or domestic animals may capture such animals causing damages, if capture may be effected on his own property, and remove them from his property; or in the event that capture is difficult or impossible, may destroy such animals on his own property, but without the use of firearms.