Cook the soba noodles in boiling water according to package directions, then drain and set aside.
Slice the chicken breast into thin strips and season evenly with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sauté until golden brown and cooked through, approximately 5 minutes.
Toss in the shredded cabbage, sliced carrots, and sugar snap peas, stir-frying for 3 minutes until tender-crisp.
Add the minced garlic and grated ginger to the pan, stirring for 1 minute until highly aromatic.
Incorporate the cooked soba noodles and tamari into the skillet, tossing well to ensure everything is coated in the sauce.
Serve immediately, garnished with a sprinkle of sesame seeds for added texture.