Position a rack in the upper third of the oven and preheat to 425º F.
In a pot over low-medium heat, add coconut oil, onion, shallots, and a pinch of salt and pepper stirring occasionally until tender and translucent, about 3 minutes. Add garlic, let cook for 1 minute. Add the tomatoes and coconut water. Let reduce for 3 minutes. Add crabmeat and cilantro. Heat for about 2 minutes.
Lastly, add coconut and stir. Place some of the mixture in ramekin, top with grated parmesan cheese and bake until the cheese is melted at the edges, about 3-5 minutes.