Yes Barry even those sunk two and a half centuries ago, those wrecks are further protected by also being designated marine archeological sites.

One exception to these rules that I do know of is the "Tobermory" wreck, which is the wreck of a Spanish galleon that was part of the Armada that sank in Tobermory Bay. That is the property of the Duke of Argyll, who can do whatever he wants with it.