Preheat oven to 425ºF. Combine sugar, cornstarch, salt, and spices. In a separate bowl, beat together eggs and coconut milk. After combined add pumpkin and whisk well.
Add sugar mixture to pumpkin mixture. Pour pumpkin mixture into the pie shell. Place pie in preheated oven and bake for 20 minutes. Lower temp to 350ºF and bake an additional 50-60 minutes. Cooking times may vary.
Check to see if pie is done by shaking it in the oven. If it moves like jello, it's done. If it moves like liquid, it needs more time.