In a large bowl, whisk together the coconut milk, water, pumpkin puree, maple syrup, vanilla extract, cinnamon, and ginger. Slowly whisk in the chia seeds.
Cover the bowl and refrigerate the mixture. Let it thicken for an hour, or as long as a few days.
When ready to serve, divide the pudding into bowls or jars, and top with coconut whipped cream if desired.