It depends but if you are required to file a federal income tax return, as a resident of GA, you will need to file a GA resident state income tax return to report all income from all sources including income earned outside the state of GA.
According to the GA Department of Revenue - if you are a legal resident of Georgia
during the 2016 tax year and are required to file a federal income tax
return, you are required to file a Georgia resident Individual Income Tax
Return.