It's possible that the Cayman Islands imposes duty fees on imports. This would be different from tariffs which are more like penalties.

Given its status as a very popular tax haven, the Cayman Islands could also have a program where foreigners can become citizens of the Cayman Islands in exchange for a sizable investment in the nation or an outright price. I don't know what that cost is, but I wouldn't be surprised if it was anywhere between USD 100K to USD 1M. Pay that amount, become a citizen and acquire that nation's passport.