Cook soba noodles according to package instructions. Drain and rinse under cold water. Set aside.
Season chicken breasts with soy sauce, olive oil, salt, and pepper. Grill or pan-sear over medium heat for about 6-7 minutes per side, or until cooked through. Let rest for a few minutes, then slice into strips.
In a large bowl, combine the cooked soba noodles, shredded carrots, cucumber, red bell pepper, green onions, and cilantro. Add the sliced chicken on top.
In a separate bowl, whisk together tahini, soy sauce, rice vinegar, honey, sesame oil, garlic, and ginger. Add water a little at a time until the dressing reaches your desired consistency.
Drizzle the creamy sesame dressing over the salad and toss gently to combine. Serve immediately or chill in the refrigerator for 30 minutes for enhanced flavors.