In a mixing bowl, combine the chicken pieces with the marinade ingredients and ¼ cup of the coconut milk. Stir well until the chicken is thoroughly coated. Cover and set aside for at least 20 minutes. For deeper flavor development, marinate overnight in the refrigerator.
Thread the marinated chicken pieces onto the soaked skewers, placing about 4 to 5 pieces on each. Ensure the pieces are evenly spaced for consistent cooking.
Heat 1½ tablespoons of oil in a large non-stick skillet over medium-high heat. Cook the skewers in batches, searing them for approximately 3 minutes on each side until the chicken develops a golden-brown exterior and is fully cooked through.