In a large bowl, combine the mixed salad greens, shredded chicken, carrots, red cabbage, snap peas, and green onions. Toss gently to mix the ingredients evenly.
In a separate small bowl, whisk together the soy sauce, rice vinegar, sesame oil, honey, grated ginger, and minced garlic until well combined. Season with salt and pepper to taste.
Pour the dressing over the salad mixture and toss until everything is evenly coated.
Just before serving, sprinkle the toasted almonds, sesame seeds, and crispy chow mein noodles on top for added crunch.
Serve immediately for the best texture, or chill in the refrigerator for up to 30 minutes before serving if you prefer a colder salad.