I'm sorry, but based on the ingredients you provided, it's unlikely that you'll be able to make a vegan cake without sugar. Honey is not vegan, it is an animal byproduct and the other ingredients you listed are not typical ingredients used in cake recipes. Additionally, a sheet of white cake is already a baked good and cannot be used as an ingredient in a new cake recipe.
Here's a recipe for a vegan cake that you could make with some additional ingredients:

Vegan Chocolate Cake Recipe:

Ingredients:

1 and 1/2 cups all-purpose flour
1 cup unsweetened cocoa powder
1 and 1/2 cups almond milk
1 cup agave nectar or maple syrup
1/2 cup vegetable oil
2 teaspoons baking powder
1 teaspoon baking soda
1 teaspoon vanilla extract
Instructions:

Preheat the oven to 350°F (180°C).
In a large mixing bowl, whisk together the flour, cocoa powder, baking powder, and baking soda.
In another mixing bowl, whisk together the almond milk, agave nectar or maple syrup, vegetable oil, and vanilla extract.
Pour the wet ingredients into the dry ingredients and mix until well combined.
Pour the batter into a greased cake pan and bake for 25-30 minutes or until a toothpick inserted into the center comes out clean.
Let the cake cool for a few minutes in the pan before transferring it to a wire rack to cool completely.
Once the cake is cooled, you can frost it with a vegan frosting of your choice, such as a chocolate ganache made with coconut cream and dark chocolate.
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