He may want to get a concealed weapons permit but he should be able to possess a stun gun. However any use of the stun gun could cause him significant legal problems, and may run afoul of certain city laws depending upon where and when it is used.
Generally, yes, he should be fine. If he wanted to be extra careful he could get a license to carry a concealed weapon. You apply for this type of license at your local probate court. Ironically, the place where you file to get a license to carry a concealed weapon is the same place you file for a marriage license.
James L. Yeargan, Jr. is licensed to practice law in the State of Georgia. All information given is based only on Georgia law, and is not directly applicable to any other jurisdictions, states, or districts. This response, or any response, is not legal advice. This response, or any response, does not create an attorney/client relationship. The response is in the form of legal education and is intended to provide general information. Any state specific concerns should be directed to an attorney who is licensed to practice law in that respective state.