It’s spelled Kokomo, and Google says there is such a place.
Kokomo Island is part of the privately owned Sandals Royal Caribbean vacation resort in Montego Bay, Jamaica. It became famous after as the inspiration for the song Kokomo, written by Mike Love and performed by The Beach Boys.
It is a very small island, and according to the Sandals Royal Caribbean website, the only amenities on the island are an Indonesian restaurant, a swimming pool, a jacuzzi, and a bar. The island caters to couples on tropical getaways.
As mentioned in Wikipedia
Kokomo Island has it’s own web site. I’d still rather be in St. Martin.