Add the shredded carrot, walnuts, coconut, dates, raisins, and cinnamon into a food processor fitted with an S blade attachment. Process until broken down, combined, and the mixture holds its shape when pinched.
Add all of the frosting ingredients into a high speed blender and blend until smooth, scraping down the sides as needed. After one hour, remove the cake from the freezer. Using a 4 inch biscuit cutter, cut the cake into rounds.