01 - Combine sliced chicken breast with soy sauce, Shaoxing wine, and cornstarch in a bowl. Mix thoroughly and let stand for 10 minutes to absorb flavors.
02 - Whisk together hoisin sauce, soy sauce, rice vinegar, sugar, sesame oil, and water in a small bowl until smooth and well combined. Set aside for later use.
03 - Heat 1 tablespoon vegetable oil in a large wok or skillet over high heat. Add marinated chicken and stir-fry until just cooked through, approximately 3–4 minutes. Remove chicken from wok and set aside.
04 - Add remaining oil to the wok. Stir in minced garlic and grated ginger, cooking for 30 seconds until fragrant but not browned.
05 - Add sliced bell pepper and julienned carrot to the wok. Stir-fry for 2–3 minutes until vegetables are slightly tender but still crisp.
06 - Return cooked chicken to the wok along with scallions and bean sprouts. Stir-fry for 1 minute. Pour in the prepared sauce, toss to coat all ingredients evenly, and cook for 2 additional minutes until heated through and sauce thickens slightly.
07 - Transfer to a serving platter and serve immediately while hot. Garnish with additional scallions if desired.