Preheat oven to 425 degrees F. Line a baking sheet with parchment paper or a silicone baking mat; set aside.
In a large bowl, combine flour, sugar, baking powder, garlic powder and salt. Add cold butter, using your fingers to work the butter into the dry ingredients until it resembles coarse crumbs.
Stir in buttermilk, cheese, ham and chives until a soft dough forms.
Working on a lightly floured surface, knead the dough 3-4 times until it comes together. Using a rolling pill, roll the dough into an 8" circle, about 1-inch thick, and cut into 8 wedges.
Place scones onto the prepared baking sheet. Place into oven and bake for 18-20 minutes, or until firm to the touch and lightly browned.