Cook 16 ounces penne pasta in boiling water until al dente or desired tenderness.
Slice 2 boneless skinless chicken breasts into finger-sized pieces.
Toss the chicken with 1 tablespoon jerk seasoning. In a Dutch oven, fry the chicken in 1 tablespoon olive oil until cooked through (about 5 minutes, until no pink remains). Remove the chicken from the Dutch oven and set it aside.
Slice 1 red bell pepper, 1 yellow bell pepper and 1 green bell pepper into thin strips.
Add the sliced peppers to the same Dutch oven and cook them with 1 tablespoon olive oil for 5 minutes.
Add ½ cup green onion, 2 tablespoons garlic paste, and 2 tablespoons jerk seasoning and cook for an additional minute.
Pour in the 1 cup chicken broth and bring to a boil. Then add 14 ounces full-fat coconut milk and reduce the heat to a simmer. Heat until the broth mixture thickens (about 5 minutes).
Add the cooked chicken and most of the 2 cups Parmesan cheese.
Remove from heat and stir well.
Once the cheese is melted, stir in the cooked penne. As the pasta cools slightly, the sauce will begin to thicken and adhere to the pasta. Continue to gently mix until all the ingredients are well incorporated.
Serve with reserved ½ cup of parmesan cheese.