Preheat the oven to 375°F (190°C). Season the chicken breasts with salt and pepper on both sides. Place them on a foil-lined baking sheet and bake for 20-25 minutes or until cooked through. Remove from the oven and let them cool completely. Once cooled, slice the chicken into thin strips.
In a large mixing bowl, combine the Napa cabbage, red cabbage, carrots, snow peas, bean sprouts, green onions, and cilantro. Toss to combine.
In a small bowl, whisk together the soy sauce, rice vinegar, sesame oil, hoisin sauce, honey, garlic and ginger. Adjust the seasoning to taste.
Add the sliced chicken to the bowl of vegetables and pour the dressing over the top. Toss well to coat everything evenly.
Sprinkle the almonds and chow mein noodles over the salad for added crunch and flavor.
Let the salad sit for 10-15 minutes to allow the flavors to meld together. Toss again before serving.