Yes, in my Mach4, I have one profile saved with x as the long axis (my monitor is wider than tall) and another that has my gantry as the X-axis. Trivial to switch from one to the other. With the Laguna hand held controllers I would assume there is some sort of configuration file that contains the same info (which pins represent which axis, and number of steps/unit, etc. I believe the Laguna (and similar axiom units) are using a variation of the RichAuto controllers, you may be able to find how to alter or set up the configuration file. Make sure you back up your current configuration.
Tubular latex pressure vessel configuration engineer