Bring a large pot of salted water to a boil. Cook the noodles according to the package directions. Drain, rinse with cold water, and drain again. Set aside.
Heat the oil in a large skillet over high heat. Add the carrots and broccoli, and cook for 2 minutes. Add the tamari, honey, chili garlic sauce, sesame oil, and vinegar. Cook, stirring, for 1-2 minutes or until the sauce starts to thicken. Add the noodles, tomatoes, and edamame, and cook, stirring gently, until everything is heated through and the noodles are fully coated with sauce, about 3-4 minutes.