You should be able to using AirPrint:
AirPrint
AirPrint is an Apple technology that lets you create full-quality printed output without the need to download or install drivers. AirPrint is built in to many printer models from most popular printer manufacturers. Just select an AirPrint printer on your local network and print from your favorite iOS or OS X app.
Source:
AirPrint Basics
But.
You need to have the latest firmware version for your iPod, and you need to know if your Brother Printer is on the list that can work with AirPrint.
Go to the link in the quote, read down till you see the list of printers, Brother is first, click on it and see if your printer is on the list.
If it will not work you may need to update the printer:
Important: Some AirPrint printers listed in this article will require a firmware update out of the box to become AirPrint-enabled. See the manufacturer's documentation or website for details.
Source:
AirPrint Basics
If you would have supplied the printer model number I may have been able to find the proper support page for that update, as it stands I can only take you to here:
Airprint Enabled Printers | Compatible with iPad, iPhone ? Brother Click on your model to the right
, then click on Support on the left. It takes you here:
Brother International - Support for your Brother Product
Input your MFC model number, select the Product Group and Search.
This is all a moot if you don't have a working computer. I would just try to see if what you want printed, will print using your iPod, if not you're going to have to wait until you can get the update for your printer from a working computer.
