Yes, both Arena 7 and 9's both have onboard memory!
To access these options you will need to go to GG, and then access the Engine tab. You can adjust the EQ and RGB settings and save them to the speaker. These settings will now carry over to other devices connected to the speakers, which can be plugged into another PC, console, or entertainment system!
However, the Prism RGB effects will not transfer over as this is a PC-only app and can not be saved to the speakers.