Cook noodles according to package directions. Drain and set aside.
Heat oil in wok or large frying pan over medium-high heat.
Add chicken and cook until browned, 10-15 minutes. Remove chicken and set aside.
Turn heat down to medium and add vegetables. Cook, stirring often, for about 3 minutes.
Add the noodles. Cook for about 5 minutes, tossing often to prevent sticking.
Whisk together sauce ingredients and pour over noodles. Add chicken back to the pan and toss everything together (tongs are useful here) until everything is well-coated and heated through.