I am filling for a divorce and NY. I meet the resident requirements but I want to have the summons notarized in Georgia and mail it in. Can I do that.

An out fo state notary should be fine.  However, a New York summons does not require a notary so you do not have an issue with that. If you are taking about the divorce complaint, then again, an out of state notary should work.   This is not legal advice nor does it create an attorney client relationship. It is just informational. You should hire an attorney if you want to pursue a legal matter.