In a mixing bowl, combine the softened cream cheese, pumpkin puree, powdered sugar, vanilla extract, and pumpkin pie spice. Beat until the mixture is smooth and creamy.
Gradually add the graham cracker crumbs to the mixture, and stir well until combined. The mixture should be thick enough to hold together.
Using your hands, scoop out portions of the mixture (about 1 tablespoon each) and roll them into balls. Place the balls on a parchment-lined baking sheet.
Once all the mixture is shaped into balls, place them in the refrigerator for about 15 minutes to firm up.
While the balls are chilling, melt the chocolate chips or white chocolate in a microwave-safe bowl in increments of 30 seconds, stirring in between until smooth.
Remove the pumpkin cheesecake balls from the refrigerator. Dip each ball into the melted chocolate, ensuring it is fully coated, and then roll it in extra graham cracker crumbs if desired.
Return the coated balls to the baking sheet and refrigerate for another 10 minutes to set the chocolate.
Serve chilled and enjoy!