Can I modify the App Library?

Hello. You cannot modify or reorganize your App Library. Apps are automatically added to categories and these cannot be changed. The most modification you can do is deleting an App from the App Library (which will also delete it from your device).

Nope. That is not supported.

Feel free to provide feedback to Apple if you'd like them to know you'd like this capability --> Feedback - iPhone - Apple

You're welcome.