No way that I'm aware of.
However, if the requirement here is simply to have a single replication-based backup machine, you can easily enough run three MySQL servers (on different addresses and/or ports) - we do that here, with two replication rings that each include our in-house staging server as a node.
An off-the-wall idea, if you really do want all the data into a single server and the table schemas are either fixed, or pretty much static and under your control: set up one server with the three databases on and link all the tables using the federated engine. In theory (huge caveat: I've never tried it!), you can then replicate off those federated tables on to a second server (again, possibly on the same machine), giving you genuine live copies of the data on a single MySQL instance. You could even try replicating back again, but that way possibly lies madness :)