Adjust oven rack 6 inches from broiler element and heat oven to 350 degrees. Combine rosemary, salt, and pepper in bowl. Sprinkle chicken all over with rosemary mixture.

Wrap each chicken breast with 2 pieces of bacon: Starting with 1 piece of bacon on underside of wide end of breast, stretch and wrap bacon around breast, spiraling down toward middle. Continue wrapping with second piece of bacon until breast is completely wrapped and bacon seams end up on underside of breast.

Heat oil in 12-inch skillet over medium-high heat until shimmering. Add chicken, bacon seam side down, and cook, without moving it, until bacon is golden brown, about 3 minutes. (Do not flip chicken.)

Sprinkle top of each breast with 1 tablespoon sugar. Transfer skillet to oven and roast until chicken registers 155 degrees, 15 to 20 minutes. Remove skillet from oven and heat broiler. Broil until bacon is well browned and chicken registers 160 degrees, 4 to 5 minutes. Let chicken reat for 5 minutes. Serve.