Boil a small pot of water and cook soba noodles according to package directions, then drain and set aside.
Slice the chicken breast into thin, bite-sized strips and season with sea salt and black pepper.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat.
Add the chicken strips to the skillet and sear until golden brown and cooked through, approximately 5-6 minutes.
Remove the chicken from the pan and set aside on a plate.
Add the broccoli florets and sliced red bell pepper to the same skillet with a tablespoon of water to help steam.
Sauté the vegetables for 3-4 minutes until they are tender-crisp and bright in color.
Stir in the minced garlic and grated fresh ginger, cooking for about 1 minute until highly fragrant.
Return the chicken to the pan and pour in the coconut aminos, tossing everything together to coat in the glaze.
Serve the chicken and vegetable stir-fry over the cooked soba noodles.
Garnish the dish with thinly sliced green onions and a sprinkle of sesame seeds before serving.