Bring a large pot of water to a boil. Add the noodles and cook them according to the package directions. Drain the noodles and set them aside.
Add 1 tablespoon vegetable oil to a large skillet set over medium-high heat. Add the chicken and cook, stirring constantly, until it is browned on all sides. (It does not need to be cooked through.) Push the chicken to one side of the pan.
Add the remaining 1 tablespoon vegetable oil then add the garlic, ginger, celery, carrots, cabbage and bean sprouts. Cook, stirring constantly and incorporating the chicken, until the vegetables are tender, about 5 minutes.
Add the noodles and sauce and toss to combine. Serve immediately.