Preheat oven to 350 degrees. Line a 12-cup standard muffin pan with paper liners.
Bake for 20-25 minutes or until the tops are slightly springy and a toothpick inserted in the center comes out clean. Leave oven on. Let cool in pan for 5 minutes then remove to a wire rack to finish cooling. Prepare frosting while cupcakes cool.
Take a handful of the toasted coconut flakes to use as garnish and add the rest along with the pecans to the frosting and mix well with a spatula. You may need to add a bit more coconut milk to keep the frosting at a spreadable consistency. Frost cooled cupcakes, sprinkle with some toasted coconut and serve.