Can I take the Standard Deduction on my Federal return and take Itemized Deductions on my state of Georgia return?
No, if you use the standard deduction on federal, you must use the standard deduction for Georgia as well.
https://dor.georgia.gov/sites/dor.georgia.gov/files/related_files/document/TSD/Booklet/IT-511/2018_IT-511_Individual_Income_Tax_Booklet.pdf