Cook the soba noodles according to package directions, then drain and set aside.
In a small bowl, whisk together the tamari, honey, minced ginger, and minced garlic to create the teriyaki sauce.
Season the chicken breast pieces with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and cook until golden brown and cooked through, about 5-7 minutes.
Toss in the broccoli florets, sliced red bell pepper, and snap peas, stir-frying for 3-4 minutes until tender-crisp.
Add the cooked noodles and the prepared sauce to the skillet, tossing everything together for 1-2 minutes until the sauce thickens and coats the ingredients.