Preheat the oven to 400 degrees F (200 degrees C). Set a wired rack into a baking dish.

Mix together cream cheese and green onions in a bowl until well combined; season with salt and black pepper.

Spread about 1/4 cup cream cheese mixture over each chicken breast. Starting at the narrow end, roll chicken breasts over filling. Wrap each chicken breast in 4 slices of bacon. Place wrapped chicken onto the rack in the prepared dish.

Bake in the preheated oven until bacon is browned, about 1 hour. An instant-read thermometer inserted into the center of a breast should read at least 165 degrees F (74 degrees C).