Preheat the oven to 350°F. Lightly spray a 12-cavity cupcake pan with cooking spray or line with cupcake liners. Set aside.
In a mixing bowl, whisk together the flour, pumpkin pie spice, baking powder, baking soda, and salt.
In a separate large mixing bowl, whisk together the pumpkin purée, oil, sugar, almond milk, vinegar, and vanilla until smooth.
Whisk the dry ingredients into the wet ingredients until just combined.
Fill each cavity of the cupcake pan with ¼ cup of the batter. If there is any batter left, you can top them off, but don't fill more than ¾ths of the way full.
Bake for 16 to 18 minutes until a toothpick inserted into the center comes out clean.
Remove from the oven and let the cupcakes rest in the pan for 5 to 10 minutes before removing them to a wire cooling rack to cool completely.
Once the cupcakes are completely cool, frost as desired.