Mix 1 tablespoon soy sauce and 2 teaspoons each rice wine, cornstarch and water in a medium bowl. Add the chicken and toss; cover and refrigerate until ready to use.
Whisk the remaining 2 teaspoons soy sauce, 1 tablespoon rice wine and 1 1/2 teaspoons cornstarch, the sugar, chili oil and 2 tablespoons water in a small bowl.
Heat 2 tablespoons peanut oil in a wok or large skillet over medium-high heat. Add the chicken and stir-fry 30 seconds. Transfer to a plate.
Heat the remaining 1 tablespoon peanut oil in the skillet. Add the garlic, ginger, scallion whites and precut vegetables; stir-fry until the vegetables are crisp-tender, 5 minutes. Add the chicken and peanuts and stir-fry until the chicken is cooked through, 3 to 5 minutes. Stir the soy sauce-chili oil mixture, add to the skillet and cook until the sauce thickens, 30 seconds. Serve over rice and top with the scallion greens.