Heat 2 tablespoons olive oil in a large heavy skillet over medium-high heat. Season the chicken with salt and pepper. When the oil is hot, add the chicken strips and saute until chicken is just cooked through, about 4 to 5 minutes, depending on the size of the strips. Remove the chicken from the pan and set aside.
Add 2 more tablespoons of olive oil to the skillet and heat over medium-high heat. Add the julienned vegetables and cook until crisp tender, about 2 to 3 minutes. Season with salt and pepper, to taste. Remove the vegetables from the pan and set aside.
Add 2 more tablespoons of olive oil to the skillet, reduce the heat to medium, and then add the fresh ginger and garlic. Cook, stirring constantly, until fragrant, about 1 to 2 minutes. Add the honey and chicken stock and let the sauce reduce slightly. Meanwhile, in a small bowl, whisk the cornstarch with 2 tablespoons cold water until dissolved. Add the cornstarch slurry to the sauce and cook for 1 to 2 minutes, or until sauce is thickened.
When the sauce has thickened, return the chicken and vegetables to the skillet and cook until just heated through. To serve, arrange the fried noodles as a base on each plate. Spoon the chicken, vegetables, and sauce over the noodles. Garnish with the cilantro, mint, and pickled ginger.