Legal Question in Family Law in Georgia

Unfortunately, if there is no custody order in place, bot parents have equal rights to the children. However, once you file for a divorce, the court would not look favorably on this behavior. You need to speak to an attorney immediately. Trying to find out how to deal with a major issue like this should not be dealt with on an on-line posting.

With no court order in place, yes he can. If you file for divorce in many counties, and you want to get a lawyer to do that, many counties have a standing order that would ban the children from being removed from the jurisdiction. So the answer is: see a lawyer ASAP.