No, Hudson Bay Doesn't Surround the Statue of Liberty

This is a category error of continental scale. Hudson Bay and the Statue of Liberty are separated by ~2,500 km (1,550 mi) and an international border.

Hudson Bay

• Location: Northeastern Canada (Nunavut, Manitoba, Ontario, Quebec)
• Type: Marginal sea of Arctic Ocean (via Foxe Basin, Hudson Strait)
• Size: 1.23M km² — second-largest bay globally
• Key ports: Churchill (Manitoba), Moosonee (Ontario)
• Wildlife: Polar bears, belugas, narwhals, migratory birds

Statue of Liberty

• Location: Liberty Island, New York Harbor, USA
• Water body: Upper New York Bay → The Narrows → Lower NY Bay → Atlantic Ocean
• Surrounded by: Hudson River (west), East River (north/east), Kill Van Kull (southwest)
• Distance to Atlantic: ~10 km via The Narrows

Why the Confusion?

"Hudson" appears in both: Henry Hudson explored the river (1609) and the bay (1610–11). The river flows past Liberty Island. The bay is a separate, far-northern basin. Same explorer, different watersheds.

Liberty enlightens the world from New York Harbor. Hudson Bay freezes solid in winter. They share a namesake—nothing more.