01 - Preheat oven to 400°F. Line a baking sheet with parchment paper or aluminum foil.
02 - In a mixing bowl, lightly mash the blackberries. Add the cream cheese, 2 tablespoons honey, diced jalapeño, lemon zest, and a pinch of salt. Stir until well combined.
03 - Pat the chicken breasts dry with paper towels. Using a sharp knife, cut a pocket into the thickest side of each breast, being careful not to cut all the way through.
04 - Generously fill each pocket with the blackberry mixture, distributing it evenly among the four breasts.
05 - In a small bowl, combine the olive oil, smoked paprika, garlic powder, 1/2 teaspoon salt, and black pepper. Brush the seasoning mixture evenly over each stuffed chicken breast.
06 - Place the stuffed chicken on the prepared baking sheet. Mix 2 tablespoons honey with the balsamic vinegar and brush over the tops of each breast to form a glaze.
07 - Bake for 30 to 35 minutes until the chicken is cooked through, reaching an internal temperature of 165°F and the juices run clear.
08 - Let the chicken rest for 5 minutes before serving. Spoon any excess blackberry juices over the top if desired.