My iPad 8th gen fell and won't turn on

Try the steps in this article If your iPad won't turn on or is frozen - Apple Support

If this is not working i am afraid that the iPad suffers damage from the fall and needs to be looked after by the Genius Bar

That is unlikely to be fixable without Apple's intervention. This Apple iPad service site:

iPad Repair and Service - Apple Support

Has this as the estimated repair cost:

That will get you an Apple-refurbished iPad of identical specs as yours.

If you do not have AppleCare extended protection, you may be better off getting a newer model because the iPad 8 will likely get only one more iPadOS update. It is listed as the oldest iPad that will run the upcoming iPadOS 26:

The iPad 7 will not run 26. It follows that the established pattern of each new iPadOS version dropping one older model a year and will probably bite the iPad 8 in 2026 if the trend continues.