The entire point of the battle-ready mark, which VGC formats and all other Battle Stadium formats on the ranked ladder require, is that a Pokemon cannot get it without deleting its previous moves, as well as any record that it ever had those moves. This guarantees that neither you nor your opponents have any way to access moves a Pokemon could only get by transferring from a previous generation, like Mimic, if you want to play those formats.
You can still challenge random people to battles over the Y-Comm without being tied to the Battle Stadium infrastructure, and those battles do not require the battle-ready mark or a particular origin, so you can still use previous-generation moves there. However, those battles are also not VGC, and will not qualifying you for anything to do with the competitive circuit.