Combine cabbage, cucumber, cilantro, green onions, carrots, jalapeno, edamame, navy beans, chicken, and peanuts in a large bowl.
Whisk together vinegar, lime juice, ginger, garlic, salt, peanut butter, soy sauce, and honey in a bowl until well combined. Slowly drizzle in oil while whisking until well incorporated.
Pour dressing over cabbage mixture and toss to coat.
Serve immediately or refrigerate until ready to serve.
