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 | $5,400 |
Married Filing Separate | $3,550 |
Married Filing Joint | $7,100 |
Additional Deduction | $1,300 |
Note: The additional deduction applies if you and/or your spouse are age 65 or over and/or blind.