You must be a US citizen. Or not.
WHAT ARE THE REQUIREMENTS FOR DOCUMENTATION?
The basic requirements for documentation are to demonstrate ownership
of the vessel, U.S. citizenship, and eligibility for the endorsement sought.
About half way down this page -
USCG National Vessel Documentation Center, Fee Page
But further down the page there is this -
HOW DO I ESTABLISH U.S. CITIZENSHIP?
Citizenship is established by completion of form CG-1258. In addition to individuals, corporations, partnerships, and other entities capable of holding legal
title may be deemed citizens for documentation purposes. Corporations must be registered in a state or the U.S; the chief executive officer and chairman of the board of directors must be U.S. citizens, and no more than a minority of the number of directors necessary to constitute a quorum may be non-citizens. In addition, at least 75% of the stock must be vested in U.S. citizens for a coastwise or fisheries endorsement.
So there may be a way to do it...