Preheat your oven to 400°F (200°C).
In a large mixing bowl, whisk together the ground ginger, ground nutmeg, baking soda, baking powder, and salt.
Add the cold diced butter into your dry mixture. Using a pastry cutter or your fingers, work the butter into the flour until it resembles coarse crumbs.
In another bowl, combine the chilled pumpkin puree, cold milk, cold egg, and vanilla extract. Whisk until smooth.
Pour the wet ingredients into the bowl with the dry ingredients. Stir gently until just combined.
Turn the dough onto a lightly floured surface. Gently pat it into a circle about one inch thick and cut into wedges or use a round cutter.
Bake in your preheated oven for about 15–17 minutes or until they are lightly golden on top.
While the scones bake, whisk together powdered sugar and heavy cream until smooth to create your glaze.
Once baked, remove your scones from the oven and let them cool slightly before drizzling with the glaze.