Cook rice noodles as directed on package. Rinse under cold water; drain well. Toss noodles with sesame oil. Divide among 8 soup bowls. Set aside.
Bring broth, carrots and ginger to boil in large saucepan. Add chicken; simmer 2 minutes or just until chicken is cooked through, stirring occasionally. Stir in snow peas, green onions and soy sauce. Cook 2 minutes or until vegetables are tender-crisp.
Ladle soup over noodles in soup bowls to serve. Sprinkle with sesame seed.