Yes, a U.S. citizen can live in the Cayman Islands, but you cannot simply move there without a specific visa or residency permit. The most common path for Americans is the Residency Certificate for Persons of Independent Means. To qualify, you must demonstrate a continuous annual income of at least $145,000 (without working on the island) and make a significant local investment, typically at least $1.2 million, of which at least half must be in developed residential real estate. Alternatively, you can move there if you are hired by a local company that obtains a Work Permit for you, though these are usually reserved for specialized roles that cannot be filled by locals. The Cayman Islands also offers a "Global Citizen Concierge Program" for remote workers, allowing them to live on the island for up to two years. While the process is rigorous and expensive, it offers a high standard of living and a favorable tax environment for those who meet the high-net-worth requirements.