You can file married, separate in Virginia, but the rules vary based on whether you are a resident, non-resident or part-year resident, and also where both spouses live. The following text is from the Virginia website (https://www.tax.virginia.gov/filing-status)
Note that TurboTax may or may not offer you the chance to change filing status, depending on which case below you match.
Resident:
Filing Status 3 - Married, Filing a Separate Return: If you and your spouse filed separate federal returns, you may use this filing status. If you and your spouse filed a joint federal return, but only one of you is a Virginia resident, the resident must use Filing Status 3.
Non-resident:
Filing Status 4 - Married, Filing a Separate Return: A separate Virginia return MUST be filed if: (1) both husband and wife are nonresidents and have income from Virginia sources, but do not choose to file a joint return under Status 2; or (2) both husband and wife are nonresidents and both had income, but only one had income from Virginia sources; or (3) only one spouse is a nonresident and the couple cannot elect to file a joint resident return.
Part-year resident:
Filing Status 3 - Married, Filing a Separate Return: If you and your spouse filed separate federal returns, you may use this filing status. If you and your spouse filed a joint federal return, but only one of you is a Virginia resident, the resident must use Filing Status 3.
