Cook noodles according to package instructions leaving them just barely cooked. They will continue cooking in the heat of the griddle. Drain, rinse, and spray with a little oil to keep them from clumping together.
Combine all the ingredients for the soy garlic butter sauce in a small bowl.
Preheat the griddle to medium. If you have multiple zones, do one side and the middle at medium and one at low. You want a temp around 375°f.
When the griddle is hot, add some oil to one side and add the chicken. Season with salt and pepper. Let the chicken cook undisturbed for a couple of minutes.
While the chicken is cooking, add oil to the middle of the griddle and add the vegetables. Sprinkle with salt and pepper and drizzle with a little sesame oil.
Flip the chicken and continue cooking the chicken and vegetables until the chicken is cooked through and the vegetables reach the desired color. About 3 more minutes.
Add oil to the cooler part of the griddle and add the noodles. Add about a tablespoon of the soy butter sauce and toss to coat. When the noodles have warmed up a bit, combine the chicken and the vegetables and the noodles together. Add the rest of sauce and cook for a minute or two until thickened.
Serve with yum yum sauce if desired.