Rinse the shrimp under cold water, pat dry with paper towels, then cut each shrimp into about 3–4 small pieces and place in a mixing bowl.
Add the chopped chives to the bowl with the shrimp.
Mix in the egg white, tapioca starch, chicken bouillon powder, salt, fish sauce, sesame oil, white pepper, sugar, and 1 teaspoon oil until well combined.
Cover and refrigerate the filling for 30 minutes to marinate.
While the filling chills, combine the soy sauce and Chinese black vinegar in a small bowl and set aside as the dipping sauce.
Place a wonton wrapper on a flat surface, wet the four outer edges with a little water, add about 1 teaspoon of filling in the center, then fold and seal the wrapper to form a round dumpling.
Repeat wrapping until all filling is used, keeping assembled wrappers covered so they do not dry out.
Heat a non-stick pan over medium-low, add enough cooking oil to coat the surface, place the dumplings in the pan, cover with a lid, and pan-fry until the bottoms are golden.
Flip the dumplings and pan-fry the other side until golden and cooked through, adding more oil if needed.
Serve the dumplings hot with the soy-vinegar dipping sauce.