If you go back far enough, you will find several aerobatic teams have existed in the RAAF over the years. Several were from "operational" squadrons.
There were the "Black Panthers" (from memory) which I suspect were from 76SQN when they flew Sabres in the late 60's.
77 Squadron had a Mirage team early in the 70's - they lost a jet at Willy in 1975 or so when the pilot had a compresssor stall at low level (I've seen the wreckage).
Prior to that there was a "Miracles" team - also based on Mirage - that I think came from 2OCU - but can't be sure. At one time either Channel 9 or ABC had a 3 minute clip of them that they showed during intervals at the cricket etc. I had a copy of it on VHS.
In answer to your basic question - No......................
(Ex RAAF - 32 years service)