Place heavy whipping cream in a stand mixer with the whisk attachment. Blend for 4 minutes on low speed and adjust speed going up to 6 as it thickens. Once it resembles whipped topping then it's ready. Fold in the sweetened condensed milk.
Fold in the pumpkin puree.
Crumble the ginger snap cookies.
Pour one layer of the ice cream mixer into a 9x9 pan. Add in ginger snap cookies.
Add another layer of ice cream and then add ginger snap cookies.
Freeze in the pan overnight. Serve in ice cream cone or waffle cones.