Bring a 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.
Heat the sesame oil in a large non-stick skillet or wok over medium-high heat until shimmering.
Add the cubed chicken breast to the skillet, seasoning with sea salt and black pepper, and cook until golden brown and cooked through.
Stir in the minced garlic, grated fresh ginger, broccoli florets, and snap peas, sautéing for 3-4 minutes until the vegetables are tender-crisp.
Add the drained soba noodles to the skillet along with the tamari and rice vinegar, tossing well to ensure even coating.
Continue to cook for 2 minutes, allowing the noodles to get slightly crispy and the flavors to meld, then garnish with sesame seeds before serving.