No, this driver does not report battery level. Maybe it could, if the developer has time to add it.
The Astomi shades are high build quality, I was actually impressed with how nice and well built they are. I do not really see a need for a battery level, it just needs to plugged in once every six months to be charged. I just needed a driver for Hubitat to do all the major functions.
I bought the Astomi mainly because you can customize everything; color, material, and custom size to .25 inches, and even add a valence.