Preheat the oven to 350°F (175°C).
In a large bowl, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy.
Add in the pumpkin puree and eggs, mixing until well combined.
In a separate bowl, whisk together the flour, baking soda, cinnamon, and nutmeg.
Gradually add the dry mixture to the wet mixture, stirring until just combined.
Fold in the chocolate chips and graham cracker crumbs.
Using a cookie scoop, drop rounded tablespoons of dough onto a lined baking sheet.
Bake in the preheated oven for 10-12 minutes, or until the edges are set but the centers are still soft.
Allow the cookies to cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.