Hi W2BW
It has nothing to do with your broker. They do not make the decision regarding eligibility. If you are relying on the FHOG for Funds to Complete then the lender may require to see your FHOG application, but otherwise you can apply anytime following settlement when you take up residence at the property.
FYI, I lodged an application for a customer of mine in May, 2007. The FHOG application was lodged with the application for a home loan. My customer thought I must be mistaken - at that time he had bought four properties and still owned two of them. He had never lived in any of these properties and two he had never seen.
I included a full description of all the properties and their transaction dates in the application and you can imagine how pleased he was to be approved for the (Vic) $10,000 grants.
You never know if you don't have a go.
Discuss this with your solicitor / conveyancer and they can assist with the application if your broker is reluctant to do so.
Cheers
Kristine