You can in Perth! White sand desert looks spectacular in pictures and on video. You can hire bikes in Lancelin which is around one and a half hours drive from Perth. You have to call ahead of time to book (preferably a day or two ahead of time). The phone number to call is: 0417 919 550.
For more information, visit their site:
http://www.dirtbikehire.com.au/
Other things you can do in Lancelin include sand boarding and riding the “Desert Storm Bus”. Booking at least a day before is advisable:
http://www.desertstorm.com.au/
