A book made in Photoshop Elements

That may depend on which region of the world you are in.  Adobe sometimes partners with printing services for use in Elements in the local market. 

Elements 2020 has a number of templates that can be used to create a photo book that can be printed on your desktop printer or saved as a PDF.

In the United States, photos can also be printed through a link to FujiFilm or used to create gifts such as mugs etc.

No, it can be used to make the pictures for a book but isn’t used to make the whole book. What do you want to do with the book eg print on your home printer, send to a commercial print shop, send to a publisher, make an ebook, make a PDF?

Printing a book made with Photoshop Elements somewhere?