No they didn't. All three of the forts that they siezed after Anderson moved into Sumter were constructed before the US army took command of any of them. Heck, Fort Johnson was built by the British back in 1708! Moultrie was in use during the revolution and Pinckney, standing on a long-recognized battery post, was completed by SC in the 1790's. They were all transfered conditionally to the feds in 1805 by the SC legislation. The transfer was without any compensation to SC for building them. The people of South Carolina owed the yankees NOTHING for those three forts when they took them. Yet they offered to pay anyway in hopes that it would bring about a peaceful settlement.
Still, given that you think a 20 million dollar tax increase on top of a 500 million annual cost for the war was a devastating economic blow, it's easy to see how you could have developed another silly notion here.