The chat does overlap on the armor bars and action bar, so it would be cool to have a slider to move up the chat the way you want.
At the same time I'm also suggesting the same thing for the hotbar. See, in Java Edition the hotbar was always cut off a bit at the bottom which was partly fixed in a 1.20.x release I think. However, it's still not good enough and it would be nice to be able to have the hotbar position similar to Bedrock Edition and Legacy Console Edition (which btw. also is how the Java hotbar is supposed to be). This option could be added to the already suggested hotbar customization module.
The Raised mod exists for both, but is incompatible with Lunar's HUD options which makes it obsolete for using with Lunar Client.