Combine extra virgin olive oil, sesame oil, rice wine vinegar, soy sauce, honey, freshly grated ginger, minced garlic and salt and pepper in a small bowl or a mason jar. Whisk vigorously to combine, or shake the jar until ingredients combined and emulsified.
For Salad:
In a large bowl, add chicken, cabbage, carrots, edamame, almonds and green onions.
Drizzle dressing over top of cabbage mixture. Use tongs to toss until ingredients are evenly coated.
Divide into 4 equal servings and arrange on plates.