Bring a pot of water to a boil and cook the soba noodles according to package directions, then drain and set aside.
In a small bowl, whisk together the coconut aminos, rice vinegar, and toasted sesame oil to create the sauce.
Slice the chicken breast into thin bite-sized strips and season with sea salt and black pepper.
Heat avocado oil in a large skillet or wok over medium-high heat. Add the chicken and cook until golden brown and cooked through, about 5-6 minutes.
Remove chicken from the pan and add the shredded cabbage, julienned carrots, and snap peas. Stir-fry for 3-4 minutes until tender-crisp.
Add the minced garlic and grated ginger to the vegetables, sautéing for 30 seconds until fragrant.
Return the chicken and cooked soba noodles to the skillet. Pour the sauce over the mixture and toss everything together for 1-2 minutes until well coated and heated through.
Garnish with sliced green onions and serve immediately.