No you can't speed up the process. There are families on here that spend over a year apart whilst waiting for partner visas! 3 weeks isn't a long time.
You received a good answer on the other forum you asked this question on.
Visa: 820/801 Partner (Defacto) from WHV
Applied: Online, Onshore (Melbourne)
Application Date: 5th February 2014
Police Checks: 5th February 2014
Medicals: 5th February 2014
GRANT DATE: 4th June 2014