Prepare the Sauce: In a bowl, combine the soy sauce, hoisin sauce, oyster sauce, rice wine vinegar, and pepper. Mix well until all the ingredients are well combined. Set aside.
Prepare the Noodles: Cook the ramen noodles according to the package instructions but without adding the flavor packets. Drain and set aside.
Cook the Chicken: Heat 1 tablespoon of vegetable oil in a large skillet or wok over medium-high heat. Add the diced chicken breasts and cook until they are no longer pink in the middle. Remove from the skillet and set aside.
Cook the Vegetables: In the same skillet, heat the remaining 2 tablespoons of vegetable oil over medium-high heat. Add the diced red bell peppers, diced onions, matchstick carrots and broccoli florets. Stir-fry for 3-4 minutes, or until the vegetables are tender but still crisp. Add the minced garlic and ground ginger, and stir-fry for an additional 1-2 minutes, until fragrant.
Combine and Cook: Add the cooked chicken and noodles to the skillet with the vegetables.
Pour the sauce over the chicken, noodles, and vegetables. Toss well to combine all the ingredients, and let it cook for another 2-3 minutes, allowing the flavors to meld together.
Garnish and Serve: Garnish the chicken ramen stir fry with thinly sliced green onions and toasted sesame seeds if desired.