Mix together the tomato paste, honey, sambal oelek, teriyaki sauce, parsley, basil, and thyme to make a marinade. Coat the chicken cubes in the marinade, cover, and refrigerate for 12 hours.
Thread the drained chicken cubes onto water-soaked wooden skewers. Grill over medium-high heat for 10-12 minutes, turning occasionally, until the internal temperature reaches 74 °C (165 °F). Alternatively, pan-fry over medium-high heat for 10-12 minutes, turning occasionally, until the internal temperature reaches 74 °C (165 °F).