Can you do a hardcover with a case wrap?

Can you produce a hardcover with a litho case?

Besides hardcovers with a Rainbow Antique paper case or a cloth or linen case, we do produce hardcovers with printed cases (also called a litho case).

A sample of that is below:

Below shows what the inside looks like, note this hardcover with a printed case has Rainbow Antique Navy Blue Endsheets.