You may have an issue depending on the charger.
AC powered, switching power supplies frequently radiant RF energy and may have other frequencies on the wire providing power to the controller, both of which can be sources of RF noise that may interfere with the radio link between your controller and drone.
Another consideration is the charge rate used by the controller to recharge its internal batteries may be lower than the discharge rate while operating, so you may be depleting the controller’s batteries even while charging.
In a critical application, a wise person would check how reliable the charger is in these respects, but I assume that you are not Space X, NASA, so you may have to take a chance without knowing.
In any case, in my opinion, a “large capacity” LiPo battery pack or packs designed to provide 5VDC for charging electronic devices, like your controller, would be a safer solution.
You should check that whatever equipment you choose works before relying on it for an important project.
