In a mixing bowl, combine the softened cream cheese, shredded cheddar cheese, and chopped pickled jalapeños. Mix well until fully combined.
Taste the mixture and adjust seasoning if necessary; set aside.
In another bowl, combine the flour, cornmeal, baking powder, garlic powder, paprika, salt, and black pepper. Mix well.
Slowly pour buttermilk into the dry ingredients while stirring until you form a smooth batter.
Heat vegetable oil in a frying pan over medium heat (about 350°F / 175°C).
Take a heaping tablespoon of the cheese mixture, form it into a small ball, and dip it into the batter, ensuring it's well coated.
Carefully drop the coated ball into the hot oil. Repeat for several bites, ensuring you do not overcrowd the pan.
Fry until golden brown, about 2-3 minutes per side. Use tongs to flip halfway through for even cooking.
Once cooked, remove the bites and place them on a plate lined with paper towels to absorb excess oil.
Serve hot with your favorite dipping sauce.