No. Anyone who works as a teacher in a public school in Georgia pays into TRS. Most districts opt to not pay into SS, but there are a few that still pay into it. To be honest, I think my bf is going to lose his SS just because no one know the future of SS, but I'm not sure he can opt out of it, and quite frankly, I don't think he would choose to not pay into it.
Since I don't pay into SS, I want to have multiple options for saving, and I know that with TIAA, once you're in it, you can stay in it, regardless of whether or not you continue to work for the company you opened it under.