Prepare the soba noodles on medium heat
Add chopped carrots last minute cooking, and then drain the noodles
In a large bowl, add oil, sesame seeds, honey, soy sauce, and ginger
Whisk the ingredients together
In a medium bowl, add the miso with the mixture prepared, the noodles , cabbage, and green onions
Sprinkle chicken with salt and pepper, add the remaining miso mixture
Grill the chicken on medium heat 3 minutes each side or until done
Serve the chicken with the noodles mixture in a serving platter