It can occur, and I am not aware of any special status for this situation compared to considering the liaisons independently. An example is with the preverbal pronoun en as in On vous en a parlé.

Liaisons after plural nouns are usually optional if not forbidden, but in certain fixed names such as “États-Unis”, liaison almost always occurs. If you have “les États-Unis“, that makes two liaisons in a row. Other examples can be found in this paper: https://core.ac.uk/download/pdf/200783293.pdf