Most places don't allow customers to buy money orders with gift cards. Thankfully, there are a few places that accept gift cards, but there are restrictions.Fill in the recipient's name. The answer to that is a yes. However, there are still things to remember when wanting to purchase a money order while using a gift card as the source of funds. How do I open an account? First, you can use the Bluebird kiosk. Tell them you will use your debit card. Go to any Post Office location. Take cash, a debit card, or a traveler's check.