No, only mastercard :
Question
Does Qantas charge a booking fee or credit card fee? Answer
Qantas does not charge a booking fee for bookings made at qantas.com.
To help you avoid credit card fees we offer the following fee-free payment options:
• BPAY for bookings departing outside 7 days of your flight departure
• Debit MasterCard for bookings departing within 7 days.
Note that for bookings made using Qantas Any Seat Awards and Commercial Points Plus Pay, Debit MasterCard may be used for payment without charge at any time.
Bookings made through Qantas Contact Centres, Qantas airport locations and Qantas Travel outlets and by credit, charge or debit card will attract a booking fee.
Check our
schedule of fees to find out the latest fees which apply to bookings made in Australia