Heat oil in a large pot over medium-high heat. Add onion and saute for 5 minutes. Add minced garlic and saute for 1 minute more.
Add broth, beans, green chilies, nutritional yeast, cumin, paprika, and oregano. Bring mixture just to a boil then reduce heat to medium-low and simmer 10 minutes.
Saute the vegan chicken in oil in a separate pan over medium heat. Add lime juice and cover, stirring occasionally. We want the meat to get a bit crispy and lightly browned. When satisfied with the color and crispness, add in chopped cilantro and remove from heat.
Add 1/4 of the chili to a blender and blend it thoroughly. Add it back into the pot and then add the sour cream and stir. Divvy up the chili into bowls. Top with a generous portion of vegan chicken, cilantro, and cheese. Serve with sliced limes and Fritos or tortilla chips.