Heat the oil in a wok, add the veggies, the ground ginger, 2 tablespoons of tamari or soy sauce and the water. Cook for 5 minutes over high heat or until veggies are ready. You can add more water or tamari if you want.
Cook Udon noodles according to package directions. I boiled them for 5 minutes. Drain the noodles.
Add the noodles and 2 tablespoons of tamari or soy sauce. Stir and cook for about 2 minutes more.