Stir milk, pumpkin, egg, oil, and vinegar together in a large bowl until well combined.
Whisk flour, brown sugar, baking powder, baking soda, allspice, cinnamon, ginger, and salt together in a separate bowl. Add to pumpkin mixture; whisk just until combined.
Spray a griddle or frying pan with cooking spray; heat over medium-high heat.
Pour 3 to 4 tablespoons batter for each pancake onto the hot griddle and flatten batter slightly with a spoon.
Cook until small bubbles appear, about 2 minutes.
Flip and cook until golden brown, about 2 more minutes. Repeat with remaining batter.