To a medium bowl, add the blackberry preserves, water, bourbon, balsamic vinegar, olive oil, Dijon mustard, garlic, salt, and pepper. Whisk until fully combined. Set aside.
Pat the pork chops dry with paper towels.
In a small bowl, mix the salt, pepper, and paprika. Season both sides of the pork chops with the seasoning mixture.
To a large nonstick skillet over medium heat, add the olive oil. Once the oil is hot, add the pork chops. Cook for 4-5 minutes on the first side without moving them. Flip and cook for another 4-5 minutes, or until the internal temperature reaches 145°F. Adjust the heat as needed to avoid burning.
Transfer the cooked pork chops to a plate and loosely cover with aluminum foil to keep warm.
To the same skillet, add 1 cup of the fresh blackberries. (Reserve ½ cup of blackberries for serving.) Cook over medium heat for 2-3 minutes, stirring gently, until the blackberries begin to soften and release their juices.
Pour the prepared blackberry glaze into the skillet with the blackberries. Stir gently to coat the berries, then simmer the glaze for 1-2 minutes to warm through.
Return the pork chops to the skillet. Spoon the glaze over the pork chops and let them simmer for 1-2 minutes, just until warmed through and coated in the sauce.
To serve, spoon the blackberry glaze over the pork chops and garnish with the reserved fresh blackberries and fresh thyme.