Preheat the oven to 350°F (175°C). Grease and line three 8-inch cake pans with parchment paper.
Cream the butter and granulated sugar in a stand mixer on high speed for about 3 minutes until light and fluffy.
Add the egg whites and mix until combined.
In a separate bowl, whisk together cake flour, baking powder, and salt.
Add half of the dry ingredients to the butter mixture and mix on low speed.
Add sour cream, oil, and vanilla extract, mixing until smooth.
Mix in the remaining dry ingredients.
Divide half of the batter between the prepared pans.
Drizzle blackberry jam over the batter and swirl gently with a knife.
Top with the remaining batter and smooth evenly.
Bake for 32–35 minutes until a toothpick inserted in the center comes out with a few moist crumbs.
Cool the layers for 10 minutes in the pans before removing and letting them cool completely.