Heat a nonstick skillet over medium-low heat and add the chorizo. Using a wooden spoon to break it apart, cook until it is browned and in small crumbles, about 5 to 6 minutes. Transfer the chorizo to a paper-towel lined plate to drain some of the excess grease.
Heat a saucepan over medium heat and add the olive oil and butter. Stir in the peppers, onions and garlic. Season with the salt and pepper. Cook until the onion softens, about 5 to 6 minutes. Slowly stream in 1 cup of the half and half, whisking the entire time.
In a small bowl, whisk together the remaining 1/2 cup half and half and cornstarch until no lumps remain to create a slurry. Stir the slurry into the saucepan and cook for a minute until the milk thickens. Reduce the heat to low.
Stir in the grated cheese, one small handful at a time, until melted. Stir in the pumpkin until combined. Transfer the mixture to a crock, larger bowl or a small crockpot with the heat on low.
Spoon the chorizo on top of the queso, along with the pepitas, cilantro, peppers and a sprinkling of cotija cheese. Serve immediately with chips!