Yes, you can add a myLike of another person to your own myLikes or bookmark it. There are two ways to do it:

Add:  You can add any myLike as your own myLike: just open the myLike and hit the <+> in the upper corner. Then you just go through the normal process of creating a myLike. The address part will be skipped in this case.

Bookmark: you can mark any myLike to find it again. It will be copied in hamburger/myLikes/bookmarked myLikes. Just open a myLike and hit <Bookmark>.