In a mixing bowl, combine ground pork, minced shrimp, light soy sauce, white pepper, salt, egg white, grated ginger, scallions, and heated oil. Mix everything thoroughly until well combined.
Lay out a piece of wonton wrapper and place 1 tsp of filling in the center.
Wet the edges of the wrapper with water and fold it in half, forming a triangle.
Gather the two edges and pinch them together.
Pour chicken broth into a soup pot, add scallion whites and ginger slices. Season with salt and white pepper.
Bring it to a light boil and add the wontons and veggies. Cook until they float to the surface, about 3-4 minutes.
Drizzle with sesame oil and garnish with scallion greens.