No. There's no YVR-LAX service (AA codeshare on AS, invalid) although if you travel during QF's brief (SYD-) SFO-YVR seasonal service window, you can go YVR-SFO-LAX using AA between SF and LA. You could only stop over in HKG once.

Otherwise it's okay. If you want to fly during the time QF isn't serving YVR you can travel on your own dime to LAX, but the surface segment counts as a stopover, so you'd still have 2 in North America. Any other routing on OW metal (YVR-DFW-LAX, for instance) would likely put you over the 22K mile mark.