Can correspondent agreements include more than two money transfer parties?

In a way yes.

Typically a correspondent tie-up is strictly between two parties, but there is a way, you can have a third party and hence it is aptly called a tri-party correspondent agreement. These are far and few due to the risk involved if all the parties are unknown to each other, but they do happen in the money transfer world business.

Here is a short video that explains what a tri-party correspondent agreement for money transfer business is all about.

https://www.youtube.com/watch?v=...