No. And, as with the ‘investigation’ into the ditching of NGA, it is unlikely the recordings will be made publicly available. There may be a selective (and probably error-ridden) transcript of comms, but I wouldn’t expect more.
National security is at stake in this case. Imagine if all the Willy Tower and Willy Approach comms on a late Friday afternoon were revealed: All the comms from those F35s and FA18/A/F/Gs and Wedgetails and the dozens of other ADF assets exercising in the active Romeos would reveal important tactical information to the bad guys. And on top of that there’d be all the civvy traffic comms. Too confusing for laypeople to understand.