I'm flying from Brisbane to Los Angeles on Qantas in August (paid for economy). I would like to upgrade this to business class. Unfortunately, I only have about 23,000 of the 72,000 Qantas points required to do such an upgrade.

Currently, my booking isn't associated with my Qantas FF number. I was thinking that I could associate it with my British Airlines FF number and upgrade using BA points. Is this possible?