Bring a medium pot of water to a boil and cook the soba noodles for 4-5 minutes until tender, then drain and rinse with cold water to prevent sticking.
Slice the chicken breast into thin, bite-sized strips and season evenly with sea salt and black pepper.
In a small bowl, whisk together the tamari, grated fresh ginger, minced garlic, and honey to create the stir-fry sauce.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sear until golden brown and cooked through, approximately 5-6 minutes, then remove and set aside.
In the same skillet, add the broccoli florets, sliced red bell pepper, and snap peas, stir-frying for 3-4 minutes until the vegetables are tender-crisp.
Return the cooked chicken to the skillet, add the drained soba noodles, and pour the prepared sauce over the mixture.
Toss everything together for 1-2 minutes until the noodles are well-coated and the dish is heated through.
Garnish with sesame seeds before serving in a large bowl.