Preheat oven to 350°F and grease an 8-inch or 9-inch baking pan with nonstick spray.
In a bowl, whisk together flour, cornmeal, sugar, baking powder, and salt.
In another bowl, combine melted butter, milk, vegetable oil, and eggs until smooth.
Gently mix the wet ingredients into the dry ingredients until just combined.
Fold in finely chopped jalapeño, cream cheese, cheddar cheese, and honey until well mixed.
Pour half the batter into the prepared pan, dollop the jalapeño cream cheese filling over it, then cover with remaining batter.
Bake for 40 minutes or until golden brown and a toothpick inserted in the center comes out clean.