Combine orange juice, honey, soy sauce, ginger and crushed chile in a medium saucepan. Bring to a boil, then reduce to a simmer and cook a few minutes until syrupy. Remove from heat.
Heat oil in a cast iron skillet or frying pan over medium-high heat until shimmering.
Meanwhile, whisk egg whites in a medium bowl until frothy. In a separate bowl, combine cornstarch and salt. Working in batches, dip shrimp first in the egg whites and then in the cornstarch. Fry shrimp until golden and opaque, flipping once, about 2 minutes per side. Transfer to saucepan with orange sauce and toss to coat (rewarm the sauce first if needed).