The short answer is no. LCCS is a service and and an SDK built on top of Flash Media Server. We support rtmpfp and p2p connections but you need to build your application using the provided APIs.
Depending how complex your application is, it may be that rebuilding it on top of LCCS actually simplifies it (since we provide both pre-built components and high level messaging APIs).
Regarding an alternative, I would say the only available solution that I know it’s FMS. FMS is available as a hosted solution from different providers and there is even an AMI that you can run on the Amazon infrastructure (but I have to confess, I don’t know if the Amazon solution supports rtmpfp and p2p, since they are UDP based protocols).