Prepare rice according to package directions.

Meanwhile, warm oil in a 12-inch skillet over medium-high heat. Sprinkle chicken with jerk seasoning. Cook chicken pieces in hot oil until browned on all sides, about 5 minutes. Use a slotted spoon to transfer chicken to a plate.

Cook onion with drippings in the skillet over medium heat until softened, about 5 minutes. Return chicken pieces to the skillet along with pineapple chunks, black beans, green chilies, and jerk marinade.

Bring to a boil over high heat, then reduce heat to low. Cover and simmer, stirring occasionally, until chicken is tender, 8 to 10 minutes.

Serve jerk chicken mixture over cooked rice.