Q: ipod touch 5g cracked screen

They will need to see the iPod to determine what can be done. In general, though, there is an option to replace the screen.

Apple will exchange your iPod for a refurbished one for $99 for 16 GB 5G and $149 for the other 5Gs. They do not fix yours.

Apple - iPod Repair price                                    

You can do it at an Apple store by making an appointment:

Apple Retail Store - Genius Bar

or send it in to Apple. See:     

Service Answer Center - iPod

A third-party place like the following maybe less. Google for more.

iPhone Repair, Service & Parts: iPod Touch, iPad, MacBook Pro Screens         

Replace the screen yourself if you are up to it

iPod Touch Repair – iFixit