Heat oven to 400°F. Spray a baking sheet with cooking spray. Very finely chop coconut and peanuts (or process in a food processor until nuts are finely chopped); stir in pepper; transfer to a plate. In a bowl, mix egg and ginger.
Dip chicken pieces into egg, then press into peanut mixture. Arrange on baking sheet. Spray with cooking spray. Bake 20 minutes, until chicken is browned and cooked through.