Preheat the oven to 350 degrees F (175 degrees C).

Pour olive oil into a 9x13-inch baking dish and spread over the bottom and sides. Arrange cooked chicken in a single layer in the dish. Distribute cooked broccoli evenly over the chicken and sprinkle with almonds.

Melt butter in a saucepan over medium heat. Add cream; cook and stir for 1 to 2 minutes. Stir in cream cheese until melted and smooth, 2 to 3 minutes. Add Cheddar cheese and stir until melted, 2 to 3 minutes. Season with salt and pepper. Pour sauce over chicken, broccoli, and almonds; top with crushed pork rinds.

Bake in the preheated oven until sauce is bubbly, 25 to 30 minutes.