Preheat oven to 350°F. Line a 9x13 baking pan with parchment paper or foil.
Break graham crackers into crumbs. In a medium-sized bowl, combine graham cracker crumbs, sugar, and melted butter until crumbly. Press into the prepared baking pan.
In a medium bowl, whisk together pumpkin puree, heavy cream, eggs, sugar, vanilla, and pumpkin pie spice. Pour on top of graham cracker layer.
In a medium bowl, beat together cream cheese, egg, sugar, and vanilla extract in a stand mixer with the paddle attachment.
Spoon tablespoonfuls of cheesecake filling on top of the pumpkin layer. With a knife, carefully swirl cheesecake filling into the pumpkin mixture to create a marbled look. Be careful to not disturb the bottom graham cracker layer while swirling the top two layers.
Bake for 40 minutes or until the center is set. Cool for 30 minutes and then refrigerate for 2 hours; until chilled.
Slice into squares and serve.