Bring first 9 ingredients to a boil in a large saucepan; reduce heat, and simmer for 30 minutes.
Sprinkle pork with pepper; place on a broiler pan coated with cooking spray. Broil 7 minutes on each side or until done. Cool slightly; cut pork into strips.
Bring broth mixture to a boil; add soba noodles. Cook 6 minutes or until tender. Stir in pork, vinegar, and oil.