Mix together 1-1/4 cups of flour, coconut, baking powder, baking soda and salt in a bowl. Combine banana, oil and honey. Stir into flour mixture quickly (gently) until combined. Add part of the remaining 1/4 cup flour if needed. Batter will be lumpy.
Spread batter evenly in a lightly greased (and/or waxed paper lined) 8x4-inch loaf pan. Bake at 350F about 45 minutes until toothpick inserted in center comes out clean. Cool 10 min in pan. Turn out of pan, cool completely on rack. Wrap in waxed paper and store overnight before slicing.