Preheat the oven to 350°F. Line a muffin tin with liners.
Prepare the dry ingredients. In a small bowl, whisk together all of the dry ingredients. Set aside.
Prepare the wet ingredients. In a high-powered blender or food processor, add the carrots and ginger. Blend on medium-low until shredded. In a medium bowl, whisk together the carrot mixture and sugar, olive oil, eggs, heavy cream and vanilla until well combined. Pour the dry ingredients into the wet ingredients. Fold together until just combined.
Using a 4 tablespoon-sized spring-release Scoop (2-ounce scoop/#16 scoop), scoop the batter evenly into the lined tin, filling a little less than two-thirds full. Bake for about 22 minutes or until a light press in the middle bounces back. Let cool in the pan for 1 minute before transferring to a cooling rack to cool completely before icing, about 30 minutes. Make the frosting. In a stand mixer fitted with a whisk attachment and a completely clean bowl, add the cream, powdered sugar, cream of tartar, vanilla, and, if desired, cardamom. Beat on high until soft peaks form. Add the mascarpone and beat again just until stiff peaks. The frosting will be light yet spreadable (I piped it on the cupcakes, because I couldn’t help myself, but it requires an extra tool.)
Evenly divide the frosting in the middle of the cooled cupcakes. Using a butter knife, gently smooth off the top. Lightly sprinkle with the coconut and hemp seeds, if desired. The cupcakes are best after at least a 2-hour rest. Store in an airtight container at room temperature for up to 3 days.