Combine chicken, Shaoxing wine, salt, and cornstarch in a medium-sized bowl. Mix well with your hands, so the chicken is evenly covered with a thin slurry.
Mix all the sauce ingredients in a small bowl.
Heat 1 tablespoon oil in a large skillet over medium high heat until hot. Add the chicken. Stir and cook until the all surfaces turn white, but the inside is still a bit pink, 2 minutes or so. Transfer the chicken to a big plate.
Add the remaining 1/2 teaspoon oil, garlic, and ginger. Stir a few times to mix well.
Add the peppers. Stir and cook until the peppers just turn tender, 1 to 2 minutes.
Stir the sauce again to dissolve the cornstarch completely. Pour into the pan. Quickly stir a few times until the sauce thickens. Return the chicken to the skillet and mix again. Immediately transfer everything to a plate.
Serve hot over steamed rice as a main dish.
Notes
Using some spicy peppers will enhance the umami of the dish. Use jalapeno peppers (seeds removed) for a milder taste. For a super spicy taste, use sliced serrano peppers without removing the seeds.