Yes and no.
Sure, don't try to work on a number of independent tasks at the one time, you'll end up with inefficiencies of time and effort for all, resulting in poorer performance that obtained by concentrating on a task until it comes to a stable stage (when you can leave it with minimal inefficiency upon return to it).
However, a PM, like any manager, hops from issue to crisis to ceremony ALLTHETIME. That's what management is.
The 'secret' is to organise this torrent of calls on your time with an end in view; not just the project as a whole, but on current delivery chains: actions that must be taken and completed to maintain the tempo of the project.