To season the crab meat: On a plate, combine the crab meat with the salt and white pepper. Mix well until evenly seasoned.
To make the omelet: Heat a pan over medium heat and place the rice paper directly into the pan. Crack the egg and spread it evenly across the surface. Top with the crab meat, scallion, and carrots.
To fold and crisp: Using a spatula, fold the rice paper in half. Drizzle the cooking oil around the omelet and cook until golden and crispy on both sides.
To make the sweet chili sauce: In a saucepan over medium heat, combine the red chili pepper, sweet pepper, garlic, water, rice vinegar, sugar, and salt. Whisk and bring to a gentle simmer. Pour in the cornstarch slurry and stir continuously until thickened. Remove from the heat and set aside.
To serve: Serve the rice paper crab omelet with the sweet chili sauce.