Preheat your oven to 450°F (230°C) and line a baking sheet with parchment paper.
In a large mixing bowl, whisk together the flour, baking powder, and salt.
Cut the chilled vegan butter or coconut oil into small cubes and add it to the flour mixture. Use a pastry cutter or your fingers to work the butter/oil into the flour until it resembles coarse crumbs.
Gradually pour in the dairy-free milk and stir until just combined. Be careful not to overmix, as this can result in dense biscuits.
Turn the dough out onto a lightly floured surface and gently knead it a few times until it comes together. Roll it out to about 3/4 inch (2 cm) thickness.
Use a round biscuit cutter or a glass to cut out biscuits from the dough. Place them onto the prepared baking sheet, leaving a little space between each biscuit.
Gather any remaining dough scraps and gently knead them together to roll out and cut more biscuits.
Bake the biscuits in the preheated oven for about 12-15 minutes, or until they are golden brown on top.
Remove from the oven and transfer the biscuits to a wire rack to cool slightly before serving.