Cut each bacon slice into thirds. Wrap each chicken cube with bacon and secure with a wooden pick inserted on the diagonal starting where bacon seam overlaps.
Stir together brown sugar and chili powder. Dredge wrapped chicken in mixture.
Coat a rack and broiler pan with non-stick cooking spray. Place chicken on rack in broiler pan.
Bake at 350°F for 30 to 35 minutes, or until bacon is crisp.