Soak dates in 1/4 cup of the water or enough to cover. Soak coconut in the remaining water. 
After 20 minutes, drain dates and coconut and reserve soaking water.

Chop 1/4 cup of the almonds and put aside for topping.

Transfer coconut and date soaking liquid to a saucepan, add agar flakes and cook over medium heat, whisking until dissolved, about 5 minutes. Reduce heat, add mashed bananas and bring to a simmer. Cook for 2 minutes, remove from heat and add vanilla. In a high-powered blender, blend banana mixture with remaining almonds, dates and beans until smooth. Pour mixture into a medium bowl. Stir in coconut flakes and mix. Transfer to a large serving dish or individual dishes. Top with reserved chopped almonds and chill for at least one hour before serving.

Note: Agar is a stabilizing and thickening agent made from seaweed. It is sold in health-food stores and some supermarkets in both flake and powder forms. If using agar powder instead of flakes, reduce the amount to 1 tablespoon.