In a large bowl, toss together Soy Vay dressing, vinegar, carrots, snow peas, cucumber, and green onions. Allow to marinade at least 15 minutes (while you cook the pasta and chicken).
While vegetables soak, coat chicken with soy sauce in a small bowl. Cook pasta according to package directions and remove from heat to cool slightly.
Stir cooked pasta into vegetables, rinse skillet, and heat it over medium-high heat. Spray with cooking spray, and stir fry chicken for 5-7 minutes until cooked through. (You can cook the chicken while the pasta cooks to save time but use another pan, whichever you prefer.)
Stir cooked chicken into pasta salad. Serve slightly warm right away, or cover and refrigerate up to 24 hours until ready to serve.