I'm guessing you need to talk to a z/OS QMgr because nearly all other platforms support client connections. The short answer is no. If the mainframe does not have Client Attach Facility (CAF) then it requires another QMgr to talk to it.
That said, it is very common that a mainframe QMgr won't accept a client connection as a matter of shop policy. A standard pattern that is used in this case is that a QMgr on a distributed platform is used to accept the client connections and forward the messages to the mainframe, as well as to receive any replies. Most shops in this category will have such a "client concentrator" QMgr for you to connect to.
If the QMgr you want to connect to is at another company, it is also very common to not allow client connections for security reasons. In this case you would just need to bite the bullet and get a copy of WMQ.