Preheat oven to 425 degrees F and line a rimmed baking sheet with parchment paper, set aside.
In a 12-inch skillet add olive oil and set over medium heat.
Once the oil is hot, add the ground chicken, yellow onion, red bell pepper, chili powder, smoked paprika, cumin, kosher salt, and black pepper. Cook over medium heat while breaking up the ground chicken so there are no big pieces. Cook until the meat is browned and the vegetables have softened.
Add in garlic and cook for another minute.
Turn the heat to low and stir in the black beans, green chilies, spinach, corn, cilantro, lime juice, and lime zest. Stir to combine.
Gently simmer on low until the spinach is softened, and there is no moisture left in the pan, about 10 minutes.
Remove from heat and gently stir in the shredded cheese.
Lay out the tortilla shells and add an equal amount of filling down the center of the tortilla. Leaving about an inch on each end.
Fold in ends and roll up the tortilla tightly.
Place the wrapped tortilla seam-side down on the prepared baking sheet.
Brush the tops of each tortilla egg roll with olive oil and bake for about 15 minutes or until golden brown.