Make the wontons: Mix pork, green onions, egg, hot sauce, and pepper together in a bowl. Refrigerate for 30 minutes.
Place a heaping teaspoon pork mixture in the center of a wonton wrapper. Moisten the edges with water. Fold the bottom point to the top point, creating a triangle, and pinch to seal. Fold the outer two points in toward the center and pinch together. Repeat to form remaining wontons.
Make the soup: Pour chicken broth into a pot and bring to a rolling boil. Add grated ginger, then add wontons; cook until wontons float to the surface, about 6 minutes.
Season the broth with salt and white pepper to taste.
Garnish each bowl with green onions and soy sauce.