Bring a medium pot of water to a boil and cook the soba noodles for 5 minutes until tender, then drain and rinse with cold water to prevent sticking.
While the noodles cook, slice the chicken breast into thin bite-sized strips and season them evenly with sea salt and black pepper.
Heat a large non-stick skillet over medium-high heat and add the toasted sesame oil, swirling to coat the surface.
Add the chicken strips to the hot skillet and sauté for 5-6 minutes until they are golden brown and cooked through.
Stir in the minced garlic, grated fresh ginger, and sugar snap peas, cooking for an additional 2 minutes until the peas are bright green and slightly tender.
In a small bowl, whisk together the tamari and rice vinegar to create the savory sauce base.
Add the cooked soba noodles and the tamari-vinegar mixture to the skillet, tossing everything together for 1 minute until the noodles are well coated and heated through.
Divide the mixture into bowls and garnish with thinly sliced green onions and sesame seeds before serving.