01 - Preheat the oven to 375°F. Lightly grease a baking dish.
02 - Pat chicken breasts dry. Using a sharp knife, cut a pocket lengthwise into each breast without cutting all the way through. Season inside and out with salt and pepper.
03 - In a small bowl, combine goat cheese, blackberries, diced jalapeño, basil, and honey. Gently mix until evenly incorporated.
04 - Fill each chicken breast pocket with the blackberry-jalapeño mixture. Secure openings with toothpicks if needed.
05 - Heat 1 tablespoon olive oil in a large skillet over medium-high heat. Sear stuffed chicken breasts on each side until golden, about 2 minutes per side.
06 - Transfer seared chicken to the prepared baking dish. Top each breast with shredded mozzarella and drizzle with 1 tablespoon olive oil.
07 - Bake for 22–25 minutes, or until chicken is cooked through and cheese is bubbly and melted.
08 - Let rest for 3–5 minutes before removing toothpicks. Serve warm, garnished with additional fresh basil if desired.