In a large mixing bowl, combine the softened cream cheese, pumpkin puree, and vanilla extract. Beat with an electric mixer until smooth and creamy.
Gradually add the powdered sugar, mixing well after each addition, until the mixture is thick and glossy.
Fold in the graham cracker crumbs, cinnamon, nutmeg, and ginger. Mix until fully incorporated.
If the mixture is too soft to shape, chill it in the refrigerator for 30 minutes to 1 hour.
Once firm, use a small scoop or spoon to portion the mixture and roll it into 1-inch balls.
Coat the balls as desired (e.g., crushed graham crackers, chopped nuts, or melted chocolate).
Chill the finished balls for at least 15 minutes before serving.