Spray cold grate of outdoor grill with grilling spray. Preheat grill to medium heat according to manufacturer's directions. Brush chicken with 1 tablespoon stir fry sauce. Grill 10 minutes or until no longer pink in centers (165°F), turning over after 5 minutes. Brush top side of chicken with remaining 1/2 tablespoon stir fry sauce after turning.
Meanwhile, bring 2 cups water to a boil in 1-quart saucepan. Break block of noodles in quarters; add noodles and seasoning packet to saucepan. Cook 3 minutes; drain. Toss noodles with snow peas, carrots and onions in medium bowl. Add dressing; toss lightly.
Divide noodle mixture evenly between serving plates. Cut each breast crosswise into 1/2-inch slices. Place 1 sliced breast on top of each salad.