Preheat oven to 350°.
Coat bottom of an 8-inch square baking pan with cooking spray (do not coat sides of pan); set aside.
Lightly spoon flour into dry measuring cups; level with a knife. Combine flour, baking powder, and salt in a large bowl, stirring well with a whisk. Combine brown sugar and next 5 ingredients (through egg) in a medium bowl, stirring with a whisk until well blended. Add brown sugar mixture, figs, coconut, and almonds to flour mixture; stir until blended. Spoon batter into prepared pan. Bake at 350° for 25 minutes or until a wooden pick inserted in center comes out clean. Cool in pan on a wire rack. Cut into 16 squares.
Combine powdered sugar, 2 1/2 teaspoons hot water, and 1/4 teaspoon amaretto in a small bowl, stirring with a whisk until smooth. Drizzle over squares.