Preheat your oven to 450°F (230°C) and line a baking sheet with parchment paper.
In a large bowl, whisk together the flour, baking powder, and salt.
Add the cold, cubed butter to the flour mixture. Using a pastry cutter or your fingers, mix until the mixture resembles coarse crumbs.
Pour in the milk and stir until just combined. Do not overmix.
Turn the dough out onto a floured surface and gently knead it a few times until it comes together.
Roll the dough out to about 1/2 inch thick and cut out biscuits using a round cutter or a glass. Place the biscuits on the prepared baking sheet.
Bake the biscuits in the preheated oven for 10-12 minutes or until golden brown.
While the biscuits are baking, mix together the honey and Dijon mustard in a small bowl.
Once the biscuits are done, remove them from the oven and let them cool slightly.
Slice each biscuit in half, layer with honey ham and cheddar cheese, and drizzle with the honey mustard mixture before serving.