In a large bowl, whisk together Thai red curry paste, coconut milk, soy sauce, honey, garlic, lime juice, salt, and pepper. Add chicken strips and marinate for at least 1 hour in the refrigerator.
Preheat grill to medium-high heat.
Thread chicken strips onto skewers.
Grill skewers for 5-7 minutes on each side, or until chicken is thoroughly cooked and slightly charred.
For the sauce, whisk together peanut butter, coconut milk, soy sauce, honey, lime juice, Thai red curry paste, and grated ginger in a bowl. Add water as needed until the desired consistency is reached.
Serve chicken skewers hot with the coconut peanut sauce on the side.