Yes, A100 earbuds will remember settings such as Ambient Noise mode, default EQ presets and Auto Power Off as they are stored directly on the earbuds. If you change these settings on the Melomania Connect app and then connect your earbuds to another device, the settings will still be applied.
Please note that any of the five Custom EQ profiles are unique to the device that they were changed on, so any changes made to a Custom EQ will not carry over to another connected device.