The opposite is already true and has the same effect.
Each stage of the pipeline is executed when it has data to execute. So ultimately the main blocking event is IO (normally the first stage in a pipeline). Every other process is automatically marked as blocked, until its stdin is populated by the output of the former. Once its task is complete it re-checks stdin, and if nothing is present blocks itself.
So the execution of each task is controlled by the process who's data that task needs to operate.
In your system why would you want to block the previous step? This would just interfere with the previous+1 step, and you'd have to populate that message further up the chain. This seems needlessly complicated. As you have to add extra IPC.