Yes, you can buy HQ (high quality) items in Final Fantasy XIV. Here's how:
1. Talk to the appropriate NPC vendor.
2. Select the Buy option. 3. Choose the item you want to purchase from the list of available items. 4. Confirm your purchase by selecting Buy again.
Keep in mind that not all vendors sell HQ items, and some only sell certain types of HQ items. Also, be sure to have enough gil on hand before trying to make a purchase, as NPCs will not accept payment in any other form besides currency.