In a bowl, mix together the chicken, carrot, zucchini, 1/4 cup scallions, garlic powder, onion powder, egg, 2 tablespoons soy sauce, and sesame oil until combined well (this part is easiest to do with your hands).

Place 2 teaspoons of the mixture in the center of a wonton wrapper.

Moisten the edges of the wrapper with a fingertip moistened in water, fold over into a semicircle or triangle (depending on the shape of the wrapper you buy) and pinch the seams together to seal.

In a small bowl, mix together the remaining 2 tablespoons of soy sauce, rice vinegar and the 1 tablespoon of scallions. This will be the dipping sauce.

Use enough oil to just coat the bottom of a large sauté pan over medium heat. Pan-sear dumplings for 1 1/2 minutes on each side, until the chicken is cooked through and the dumpling is crisp.

Serve with dipping sauce.