Cook the soba noodles in a pot of boiling water according to the package instructions, then drain and set aside.
In a small mixing bowl, whisk together the tamari, sriracha, grated fresh ginger, and minced garlic to create the spicy stir-fry sauce.
Cut the chicken breast into bite-sized pieces and season them evenly with sea salt and black pepper.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sauté for 5-6 minutes until golden brown and cooked through, then transfer to a plate.
Add the toasted sesame oil to the same skillet and toss in the broccoli florets, sliced bell pepper, and snap peas.
Stir-fry the vegetables for 3-4 minutes until they are tender-crisp and maintain their vibrant color.
Return the cooked chicken and the drained soba noodles to the skillet with the vegetables.
Pour the prepared spicy sauce over the mixture and toss everything together for 1 minute until well-coated and steaming hot.