Bring a large pot of water to a boil and cook the soba noodles according to package directions, usually about 4-5 minutes.
Immediately drain the noodles and rinse them under cold running water to stop the cooking process and remove excess starch; set aside.
Season the chicken breast evenly on both sides with the sea salt, black pepper, and garlic powder.
Heat the avocado oil in a medium skillet over medium-high heat. Add the chicken and sear for 5-7 minutes per side until the internal temperature reaches 165°F.
While the chicken rests, whisk together the tamari, toasted sesame oil, rice vinegar, grated ginger, and honey in a small bowl until well combined.
In a large mixing bowl, combine the chilled soba noodles, shredded carrots, sliced cucumber, and shelled edamame.
Pour the ginger-sesame dressing over the noodle mixture and toss thoroughly to ensure everything is evenly coated.
Slice the rested chicken breast into thin strips and place them on top of the noodle salad before serving.