Cut chicken breasts into bite sized pieces. Add them to a bowl along with 1 tbsp. of adobo sauce, 1 tbsp. of oil, lemon zest, lemon juice, salt, and pepper. Refrigerate for at least 30 minutes, and up to 24 hours.
Boil a large pot of water. This will be used for both the asparagus and pasta.
Once the water is boiling, add asparagus pieces and cook for 3-5 minutes depending on their thickness, thicker will take closer to 5 minutes. Use a slotted spoon to remove asparagus pieces and immediately place in a bowl of ice water to stop the cooking process. Drain and set to the side.
To the still boiling water, add pasta and cook until al dente. When draining, reserve ½ cup of pasta water to be used in the sauce.
To a large deep skillet, add 1 tbsp. oil and heat over medium heat. Add diced peppers, minced garlic, and diced onions and cook until the onions are translucent, about 3-4 minutes. Remove to a plate to the side.
To the same skillet, add chicken pieces. Working in stages so you don't overcrowd the pan, brown chicken until cooked through.
Reduce heat to medium low and add honey. Stir to coat chicken pieces and remove chicken to the side plate.
Again to the same skillet, you are going to create the adobo cream sauce. Add reserved pasta water, heavy cream, ¼ cup of adobo sauce, and parmesan cheese. Simmer for 1-2 minutes to reduce.
Add all ingredients back to the pan, including cooked honey chicken pieces, blanched asparagus, peppers, onions and garlic, frozen peas and cooked pasta.
Stir to combine and enjoy.