Yes. You will need to file a non-resident Georgia state income tax return for any Georgia sourced income. Whether or not your will need to pay any Georgia state income taxes is dependent on several factors
See this Georgia website for reporting income as a non-resident - https://dor.georgia.gov/filing-residents-nonresidents-part-year-residents-and-military-personnel
Nonresidents, who work in Georgia or receive income from Georgia sources and are required to file a Federal income tax return, are required to file a Georgia income tax return. Some examples of Georgia source income are wages, Georgia lottery winnings, income from flow through entities (s-corporations, partnerships, LLC’s, trusts, and estates), rents, etc. If you are a legal resident of another state, you are not required to file a Georgia income tax return if your only activity for financial gain or profit in Georgia consists of performing services in Georgia for an employer as an employee when the compensation for services performed does not exceed the lesser of 5% of the income received in all places during the taxable year or $5,000.00.
See this Georgia Form 500 Instructions for non-residents, page 17 - https://dor.georgia.gov/sites/dor.georgia.gov/files/related_files/document/2015%20IT-511%20Booklet%2...
