Yes, our servers most certainly do support Joomla, Magento, Wordpress and many other content management scripts.
Many of these scripts are also available through an auto-installer (Installatron) found within cPanel post-signup for a quick 5 minute installation process.

If you not 100% sure your script will work on our servers, please pop an email through to sales@levation.com.au and include its server requirements, we'll be more than happy to give you a yay or nay.