The tools available within the iTunes interface if the device is seen by it are very thorough and helpful in repairing damaged iPods and other iPhone or iPad issues.
If you are unable to get the device to turn on, you can still go to Apple’s site and go through the step by step troubleshooting. The step by step guides walk you through specific steps related to our individual device. Apple has one of the more comprehensive and user friendly self help tools in these troubleshooting guides for their devices. Just because your iPod quit ‘working’ doesn’t mean it’s destroyed, it just might take some work to get it back up and running and then reloaded with your music.
If you live near to an Apple retail store, they have a service called "Genius Bar" that you can make an appointment at and have an Apple Expert take a look at your device and give you a prognosis as to the extent of the damage.
In the unfortunate event that there are physical damages incurred in the fall, you could check for possible coverage’s or prices of repair for your device but honestly, the iPods are usually cheaper to replace than to repair. You may find yourself taking advantage of a forced upgrade because your older style is no longer available.