Can I use it with a keyboard?
Yes. Tab to a page's move button and press Enter or Space. Every control names the page and direction.
Move pages up or down until the list reads correctly. Every page must remain exactly once, which prevents a reorder from quietly becoming a deletion or duplicate.
Result
pages
Yes. Tab to a page's move button and press Enter or Space. Every control names the page and direction.
Page annotations and resources are copied with their page. Document-wide relationships may depend on the original file and should be checked.