Make the jerk spice mix by mixing all spices until well combined. Divide spice mix in half.
Sprinkle chicken breasts on both sides with half of the spice mixture and marinate in the refrigerator for at least an hour.
Heat one tablespoon of olive oil in a large cast-iron skillet and cook chicken breasts until brown and cooked through (about 3-4 minutes on each side)
Cook the pasta according to the package directions. While the pasta is cooking, saute the garlic in ½ tablespoon of olive oil and add the chicken broth, white wine, lime juice, cilantro, and the reserved spice mix. Bring the mixture to a boil and cook for 3 minutes.
Reduce heat to simmering and pour in the whipping cream. Do not let the sauce boil again.
Drain the cooked penne and add it to the sauce. Cut the reserved chicken breasts into strips and add them to the pot, along with the red bell pepper. Cook for a couple of minutes until everything is well incorporated and heated through