Add all ingredients except turkey to a food processor, and pulse until finely chopped.
Prick the turkey pieces (skin may be removed first, if desired) with the point of a knife and then rub with jerk marinade.
Cover and refrigerate for 24 hours.
Cook slowly over medium heat on an oiled grill for 45 minutes, turning once after 20 minutes. Alternatively, turkey can be baked at 350°F (175˚C) for about 45 minutes, turning pieces once halfway through. The turkey is cooked when the internal temperature reaches 170°F (77°C).