Heat 2 inches oil over medium high heat. A cube of bread should brown in a 10 count when oil is ready.
Season bread crumbs with salt, cayenne pepper and five-spice powder. Cut the lime into wedges and reserve.
Toss coconut with seasoned bread crumbs to combine. Lightly beat the egg whites. Dip shrimp in the egg whites, then coat with the coconut breading. Fry shrimp 5 minutes in hot oil until evenly golden and crispy. Garnish with lime wedges and serve.
TIMING: To serve all of the courses together, a mix-n-match, family-style presentation, you can bread the shrimp and wait to heat oil and fry when you are ready to put the chicken stir-fry in the pan. Or, for separate courses, serve the shrimp with the salad, have your rice cooking and your ingredients prepped for the stir-fry, then stir-fry the chicken only when guests are ready for it.