Heat 3 inches of oil in a large deep skillet or heavy pot to 325 degrees F.
In a small bowl, mix the cornstarch, egg whites, salt, and pepper until foamy. Spread the coconut out in a pie dish. Dredge the shrimp with the cornstarch/egg white mixture and shake off any excess. Press the shrimp into the coconut flakes; turn shrimp over and press into coconut again to coat both sides.
Deep-fry the shrimp in batches until the coconut is golden brown, about 2 to 3 minutes. Using tongs or a slotted spoon, remove the shrimp to paper towels to drain. Arrange the shrimp on a platter, serve immediately with red curry sauce and garnish with green onion and mint.
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