Cook the soba noodles in boiling water according to package directions, then drain and rinse with cold water to prevent sticking.
In a large skillet over medium-high heat, add the toasted sesame oil and ground chicken.
Season the chicken with sea salt and black pepper, breaking it up with a spatula until browned and cooked through.
Add the minced garlic and grated ginger to the skillet, sautéing for 1 minute until fragrant.
Stir in the shredded cabbage and matchstick carrots, cooking for 2-3 minutes until slightly softened but still maintaining a crunch.
In a small bowl, whisk together the coconut aminos, rice vinegar, and fresh lime juice to create the dressing.
Add the cooked soba noodles to the skillet and pour the dressing over the mixture, tossing well to coat all ingredients.
Remove the skillet from heat and stir in the sliced cucumbers, green onions, and fresh cilantro.
Transfer to a bowl and serve immediately while warm, or chill in the refrigerator for a cold noodle salad option.