I'm sorry but you will have to use a computer. For this firmware the jailbreak was done by pod2g (separate from the hacker who did jailbreak me) his software is called absinthe and is available for an untethered iOS 5.1.1 jailbreak. It is a very simple process, pretty much just purchase the software plug your
iPod in the computer and click jailbreak. The link for this software is: http://www.redmondpie.com/absinthe-jailbreak-ios-5.1.1-untethered-available-for-download-now/
-be sure to select the version according to your operating system.