Prepare the marinade by whisking together coconut milk, soy sauce, brown sugar, curry powder, turmeric, garlic, ginger, lime juice, salt, and pepper.
Add the chicken strips and toss well to coat. Cover and refrigerate for at least 1 hour.
Meanwhile, soak wooden skewers in water for 20–30 minutes to avoid burning.
Thread marinated chicken strips onto skewers.
Preheat a grill pan, outdoor grill, or air fryer.
Grill skewers for 6–8 minutes on each side until cooked through and lightly charred.
For the peanut sauce, combine peanut butter, coconut milk, soy sauce, sweetener, lime juice, garlic, and chili in a bowl. Stir until smooth, adding warm water to thin if needed.
Serve skewers hot with peanut sauce.