If my wife and I have different resident states and pay different state income taxes (GA and NC, I'm military), can we still file joint federal AND joint state returns?

I'm military and pay NC state taxes. My wife pays GA state taxes. I assumed we would file joint federal and joint state returns, but my wife says that is wrong. She says that we would file joint federal, but separate state returns. That feels wrong to me, and obviously I would like to file joint if possible for our state returns. Thank you for your time!