Combine soy sauce, vegetable oil, honey, garlic, coriander, turmeric, salt, and pepper in a bowl.
Add chicken cubes to the marinade and refrigerate for at least 30 minutes.
Soak wooden skewers in water for 20 minutes.
Preheat grill or grill pan over medium heat.
Thread marinated chicken onto skewers.
Grill chicken skewers for 4-5 minutes on each side until cooked through.
In a saucepan, combine peanut butter, coconut milk, soy sauce, lime juice, and brown sugar.
Cook over low heat, stirring until smooth and heated through.
Serve the chicken satay with the peanut sauce on the side.