Preheat the oven to 350°F (175°C).
In a large mixing bowl, whisk together the pumpkin purée, coconut cream, and brown sugar until smooth.
Sift in the cornstarch, cinnamon, ginger, nutmeg, cloves, and salt, then add the vanilla extract.
Whisk the mixture vigorously until no lumps of cornstarch remain and the filling is uniform.
Pour the filling into the prepared vegan pie crust and smooth the top with a spatula.
Bake for 60 minutes or until the edges are set and the center has a very slight jiggle.
Remove from the oven and allow to cool completely on a wire rack for at least 2 hours.
Refrigerate for a minimum of 4 hours, or preferably overnight, to ensure the custard sets properly before slicing.