Well, it is a misdemeanor to injure or kill a dog without the owner’s permission in Arkansas. I’m sure there are exceptions for self-defense, etc, and I haven’t watched the video, but I’d be surprised if it wasn’t a crime.
I’m sure there are also laws about discharging a firearm in play too.
A person commits a misdemeanor if he or she knowingly abandons any animal , subjects any animal to cruel mistreatment, fails to supply an animal in his or her custody with a sufficient quantity of wholesome food and water, fails to provide an animal in his or her custody with adequate shelter, kills or injures any animal belonging to another without legal privilege or consent of the owner, or carries an animal in or upon any motorized vehicle or boat in a cruel or inhumane manner. Aggravated cruelty to a cat, dog, or horse is a Class D felony if the offense involves the torture.