No it doesn't. There may be a way to rig it, but UrBackup was primarily designed for client backup - not to backup the server it's running from.
There's two back up considerations for OMV: The Operating System and the Data drive.
In the following, I'm going to assume you're booting your odroid from a USB drive or an SD-card:
Take a look at this guide. Starting on page 57, data drive backup concepts are covered.
Beginning on Page 62, how to do an easy backup of the Operating System is explained.
Additional options for backing up the OS are available using the openmediavault-backup plugin.