Android chrome print, how is it set up?
Some printers come preinstalled with Google Cloud Print capabilities. Check to see if your printer already has Cloud Print: http://www.google.com/cloudprint/learn/printers.html

If your printer does not support Google Cloud Print, but it supports WiFi printing, you need to install a printer service before you can use WiFi to print. They are available on the Play Store, and you can quickly get a list of them from Settings>Printing. Only printers that support WiFi printing or cloud printing will be compatible.

And, wireless printing will not work without an internet connection, unless you have your phone hard-wired to either your printer or a connected computer.