Flatten chicken breast with a meat mallet or rolling pin between 2 sheets of plastic wrap.
Combine vinegar and next 6 ingredients in a bowl, stirring with a whisk until blended. Reserve 1 tablespoon of mixture, and set aside.
Add flattened chicken to remaining vinegar mixture, tossing to coat. Cover, and chill 1 hour.
Remove chicken from marinade, discarding marinade.
Cook Nourish Bowl according to package directions. Meanwhile, steam snow peas for 2 minutes before rinsing with cold water; drain and set aside.
Cook chicken in a large nonstick skillet coated with cooking spray over medium-high heat 3 minutes on each side or until done. Let stand 5 minutes. Cut into slices or shred.
Add to bowl with noodles and snow peas. Drizzle with reserved marinade and sprinkle with cilantro.