Can I change the app icon?

Yes. Open the Settings tab, tap Appearance, and pick one under App Icon. Your home screen changes straight away.

The three

• Default: the Lumoria star, cut out of a warm orange-to-pink circle, on white.
• Moon: the same star cut into a moon, with a scatter of stars around it, on deep night blue.
• Sun: a sun above clouds, on a bright sky blue.

All three are free. No seat, no reward, nothing to unlock. Only the home screen icon changes; everything inside the app stays as it was.

iOS puts up its own alert to confirm the change. That one comes from the system, not from Lumoria, and there is no way to switch it off.

What else is on that screen

One thing: High contrast, under Accessibility. It strengthens borders and text throughout the app, which helps in bright sunlight as much as it helps anyone who finds pale grey text hard to read. There is no light and dark theme picker yet. Lumoria wears one look for now.

If the icon doesn’t change

iOS has the last word on which icon is showing, and Lumoria follows it rather than the other way round. If your home screen and this screen disagree, leave Appearance and open it again: the selection is read back from iOS each time, so it will agree with what you can see.