Can I use a wire that was hooked up into a FIOS box and hook it up to my fios router?

Can I use a wire that was hooked up into a FIOS box and hook it up to my fios router?

Pretty straight forward question. We are moving around rooms so im curious if a FIOS coax that I was plugging into my FIOS box can also be used for my FIOS router.

Thanks

Lou