In a large bowl, add first 4 ingredients (almond butter through garlic) and mix well. Cover bowl and let sit overnight in the refrigerator, or at room temperature for 1 hour.
Preheat grill to MEDIUM-HIGH. Brush grill grate with coconut oil. Season chicken with sea salt and pepper. Place chicken on grill for 4 to 6 minutes per side or until juices run clear; remove from grill and cut into 1/2” cubes.
On a plate, spread out washed romaine leaves. Fill each leaf with chicken, broccoli, cabbage, carrots, onion, and cilantro. Drizzle with almond butter sauce and serve.
Notes
Add stir-fried yellow squash and snow peas tossed in a little coconut oil and chopped flat leaf parsley.