To make chili, heat a large pot over medium-high heat and add the ground meat. Begin browning the meat and add paprika, onion powder, garlic powder, cumin and cayenne pepper. Stir to combine.
When the meat is cooked through, add the crushed tomatoes and stir. Lower the stove to medium-low heat and simmer the chili for 3o minutes.
While the meat is cooking, preheat the oven to 350 degrees F.
Add the chili to the tortilla chip cups and top with dairy free cheese. Place in the oven for 8-10 minutes to melt the cheese.