In a large bowl, whisk together olive oil, lime juice, aji amarillo paste, garlic, cumin, paprika, oregano, salt, and pepper.
Add the chicken chunks to the bowl and toss to coat well. Cover and refrigerate for at least 1 hour, or up to overnight for deeper flavor.
Preheat your grill to medium-high heat. If using wooden skewers, soak them in water for 30 minutes to prevent burning.
Thread the marinated chicken pieces onto skewers, leaving a little space between each piece for even cooking.
Place the skewers on the hot grill and cook for 12–15 minutes, turning occasionally, until the chicken is fully cooked and has nice grill marks.
Remove from the grill and let rest for a few minutes. Garnish with chopped cilantro or parsley and serve with lime wedges.