Unfortunately not. Domain names are registered (licensed) to applicants on a "first-come, first- served" basis. 

There is no provision for queuing of applications. If a domain name is already licensed, or if an application is pending for that name, no further applications will be accepted for that name until the name is either revoked, registration expires or the pending application is declined.

If you're wanting to register a domain that is already registered to someone else, you can try using our domain name WHOIS feature, which will provide you with some contact information for the registrant. You will then need to negotiate directly with the registrant regarding the possible purchase and transfer of the name. 

If the domain name is registered but doesn't appear to be in use and the registrant is non-responsive to your communications, your only other option is to wait for the registration to lapse and then to try registering it when it becomes available again. 

Given the time and uncertainty involved with acquiring someone else's already registered domain name or waiting for expiry; it's probably best to think up an alternate name and register it quickly - before somebody else does! Many people have been disappointed after having brainstormed a good name, delayed registering it, then only to discover someone else has grabbed it in the interim.

For some tips and points for consideration on name selection, please see our guide on choosing Australian domain names.