Make the filling. In a medium bowl, whisk together the pumpkin puree, pumpkin pie spice, cinnamon, vanilla extract, almond extract, and salt. Add the brown sugar and egg, and whisk until completely smooth.
Cut the crusts. Unroll the room-temperature pie crust onto parchment paper. Using a biscuit cutter, cookie cutter, or drinking glass, cut out about 18 circles, re-rolling the scraps as needed.
Shape. Press each circle into a silicone muffin liner, gently easing the dough up the sides to form a little cup.
Fill. Spoon the pumpkin filling into each crust, filling nearly to the top.
Air fry. Preheat the air fryer to 300°F. Arrange the tarts in a single layer (work in batches) and cook for 13–15 minutes, until the crust is golden and the center is set. A toothpick inserted in the center should come out clean.
Cool. Let the tarts cool to room temperature so the filling sets fully, then serve with whipped cream if desired.