Make optional peanut sauce by mixing coconut cream, peanut butter, vinegar, curry paste, maple syrup, soy sauce, and water until smooth. Add oils and garnish with peanuts.
Soak wooden skewers in water for 30 minutes to prevent burning.
Cut chicken into cubes and marinate with ginger, garlic, soy sauces, coconut cream, sugar, and oyster sauce. Chill for 1–2 hours or overnight.
Mix coconut cream, honey, and soy sauce to make the glaze.
Let marinated chicken sit at room temp for 30 minutes, then thread onto skewers.
Grill at 500°F for 15–18 minutes, turning every 2–3 minutes until cooked and browned.
Brush skewers with glaze and grill for 2–3 more rounds, turning every minute, until sticky and caramelized.
Serve on lettuce leaves with peanut sauce on the side or in wraps.