Preheat the oven to 350°F (180°C). Grease an oven-safe dish.
In a large bowl, combine the blueberries, cane sugar, cornstarch, and lemon juice. (*See note below if blueberries are frozen.) Spread the coated blueberries out in the dish.
In a separate bowl, mix together the flour, cane sugar, baking powder, and salt.
Add the cold vegan butter to the bowl. Use a fork or pastry cutter to cut it into the flour mixture until it’s crumbly. Pour the cold plant-based milk into this mixture and stir it into a thick batter.
Place spoonfuls of cobbler batter over the blueberries. Leave gaps in between so the steam can escape while baking. Sprinkle ½ teaspoon of cane sugar on top of the cobbler for an added sweet crunch.
Bake it for 40-50 minutes or until the topping is light golden-brown and the fruit is bubbling. Let the hot cobbler cool for 5-10 minutes so it can firm up.