yes, from a song and probably the Bible. It means cry a great deal

It is a great song, my favorite version of it is by Dinah Washington. It means to cry so much from heartache, that it is the same amount as a river.

Here's a link that explains it better than I could. https://www.eslpod.com/eslpod_blog/2008/03/13/cry-me-a-river-by-diana-krall/ Good luck with your studies. :)