Yup.. since Sept of 2001.
Is It Legal to Own an NFA (Class III) Weapon in South Carolina?
Yes it is! See S.488
S*0488 (Rat#0106, Act#0106)
General Bill, By Ryberg
Similar H.3744
Signed By Governor 09/21/01
Effective date 09/21/01 09/27/01
Copies available 11/15/01
Act No. 106
The provisions of this article do not apply to a manufacturer of machine guns or military firearms licensed pursuant to the provisions of 18 USC 921 et seq., a person authorized to possess these weapons by the United States Department of the Treasury, the Bureau of Alcohol, Tobacco and Firearms, or any other federal agency empowered to grant this authorization, a common or contract carrier transporting or shipping any machine gun or military firearm to or from the manufacturer if the transportation or shipment is not prohibited by federal law, or persons licensed pursuant to Section 23-31-370.
Time effective
SECTION 2.
This act takes effect upon approval by the Governor.
Ratified the 5th day of June, 2001.
Approved the 21st day of September, 2001.
Proof of Being Legal - SLED's answer to S.488
The fax page below, shows that SLED recognizes all civilians (according to the new state law S.488) that have been approved by the BATF to own or possess machine guns, sawed-off shotguns and rifles, and AOWs are legal.