Brew water and coffee in a coffee maker according to manufacturer's directions. Cover and chill. Reserve 1/4 cup chilled coffee (reserve remaining coffee for another use).
Place 1/4 cup chilled coffee, milk, ice cubes, and cocoa in a blender; process until smooth. Add yogurt and grated chocolate; process until smooth. Pour mixture into a tall glass; top with whipped cream. Drizzle with chocolate syrup, and sprinkle with almonds. Serve immediately.