Preheat oven to 350℉ and line a 8x8 pan with parchment paper.
In a bowl using a hand mixer (or a stand mixer), whip together the softened coconut oil and sugars until fluffy. Mix in the egg, pumpkin and spices. Fold in the baking soda and almond flour until you have a dough.
Press this dough into the prepared pan and bake for about 23-25 minutes. Let cool while you make the frosting.
Using a hand mixer, whip the cold coconut cream until fluffy. Add in the vanilla and spice and continue whipping until you have your desired consistency.
Spread the frosting evenly over the cake, slice, and enjoy!