How to copy post from another site

Does anyone know of a plugin or a way to allow site owners to basically import a post from another site (within the same multisite network of course). I'm looking for a way that when a user is signed in, and they click a button on the post the like, it will copy everything from that post and create that post on their site.

Not looking for an entire site copy or copy all posts. Just ones that a user likes.

Hope that made sense