Prepare the filling by finely mincing the chicken breast or processing it in a food processor until it reaches a coarse mince.
In a bowl, combine the minced chicken with shredded carrot, finely sliced scallion, chopped parsley, chopped cilantro, minced garlic, and grated ginger. Season lightly with salt and pepper if desired.
In a separate bowl, mix the whole wheat flour with water gradually until a smooth dough forms. Knead briefly, cover with a damp cloth, and let it rest for 15 minutes.
Divide the rested dough into small portions and roll each portion into a thin circle to form the dumpling wrappers.
Place a spoonful of the chicken and herb filling onto the center of each wrapper. Moisten the edges with a little water, fold the dough over to form a half-moon shape, and crimp the edges to seal well.
Arrange the dumplings in a lightly oiled steamer basket, ensuring they do not touch to prevent sticking.
Steam the dumplings over boiling water for about 10 minutes or until the chicken is fully cooked and the wrappers are tender.
Remove from the steamer and serve warm. Enjoy your light and flavorful dumplings as a fulfilling meal any time of the day.