If you moved to or from GA, during 2020, you are technically required to file a GA, even if you had no income there. You will owe no tax, but are still required to file.
From the dept of revenue web site:
If you are a legal resident of Georgia for only a portion of the tax year and are required to file a federal income tax return, you are required to file a Georgia Form 500 Individual Income Tax Return. You must complete Schedule 3 to determine your Georgia Taxable income.
