No. Georgia instructions indicate you must use the Georgia standard deduction on your state return if you used the standard deduction on your federal return.
If you file a married filing separate return, both spouses must claim the same deduction (standard or itemized) unless they have lived apart for the entire tax year
The Georgia standard deductions are:
|Single/Head of Household||$4,600|
|Married Filing Separate||$3,000|
|Married Filing Joint||$6,000|