Set up a breading station with three shallow bowls. In the first bowl, mix gluten free flour, salt, pepper, and garlic powder. Place beaten eggs in the second bowl. In the third bowl, combine shredded coconut and gluten free panko breadcrumbs.
Pat shrimp dry with paper towels. Dredge each shrimp in the seasoned flour, shaking off excess. Dip into the beaten eggs, then press firmly into the coconut and breadcrumb mixture, coating evenly on all sides.
Place coated shrimp on a parchment-lined baking sheet and refrigerate for 15 minutes so the coating sets.
Pour vegetable oil into a heavy pot to a depth of 2 inches and heat to 350F. Fry shrimp in batches of 5 to 6 for about 2 to 3 minutes, turning once, until golden brown and crispy.
Transfer to a paper towel-lined plate and serve immediately with sweet chili sauce for dipping.