In a small bowl, combine the water and the tapioca starch until the starch is dissolved.
2 tablespoon tapioca starch, 1 tablespoon water
In a saucepan, mix together the coconut milk, the egg, and the honey.
1 ⅓ cup almond or coconut milk, ¼ cup raw honey, 1 egg
Bring the coconut milk mixture to a boil while whisking constantly. Then pour in the water-tapioca mixture while continuing to whisk.
Cook for 1 to 2 minutes and remove from the heat.
In a bowl, combine the pumpkin purée with all the remaining ingredients, and whisk until well blended.
½ cup pumpkin purée, 1 teaspoon pure vanilla extract, ½ teaspoon ground cinnamon, ¼ teaspoon ground nutmeg, ¼ teaspoon ground ginger, ¼ teaspoon ground allspice
Slowly add the pumpkin purée mixture to the coconut milk, whisking constantly, and place over low heat.
Cook, stirring constantly, for 3 to 4 minutes.
Divide the pudding evenly among dessert bowls and chill until pudding is set, 1 to 2 hours.