Cook the chicken until fully cooked and allow it to rest before slicing into thin strips.
In a large bowl, combine the shredded green cabbage, red cabbage, carrots, cucumber, and green onions.
In a small bowl, whisk together soy sauce, rice vinegar, honey, sesame oil, olive oil, ginger, garlic, and lime juice to create the dressing.
Add the sliced chicken to the bowl with the vegetables.
Pour the dressing over the salad and toss gently to coat everything evenly.
Sprinkle sesame seeds and chopped almonds on top.
Serve immediately while the vegetables are crisp and fresh.