can teensy 3.0 or above run fingerprint scanner fps gt-511c1r?
The GT-511C1R is a 5V device. The Teensy 3.0 is a 3.3V device. You will require some level shifting as you would with any 3.3V Arduino connecting to a 5V device.

Besides that, yes, the Teensy 3.0 is more than capable of working with the fingerprint scanner. Will the software work? Most likely, but only trying it will confirm that.