Boil water and cook soba noodles according to package directions, then drain and set aside.
In a small bowl, whisk together tamari, grated ginger, minced garlic, honey, and red pepper flakes.
Heat toasted sesame oil in a large skillet or wok over medium-high heat.
Add sliced chicken breast to the skillet and cook until golden brown and cooked through.
Toss in broccoli florets, sliced bell pepper, and snap peas, sautéing until tender-crisp.
Pour the sauce over the chicken and vegetables, stirring for one minute to thicken.
Add the cooked soba noodles to the pan and toss everything together until well coated.
Garnish with sesame seeds before serving.