Clearly, the answer is NO - simply because project management is 90% communications. So, if you omit the communications management process, how can you regulate the flow of communications? How do you know who to report to? How do you know which reports to send to whom?
Unfortunately, many project managers take the communications management aspect of project management lightly, and they are oblivious to the fact that without communication there is no project management, there's just a project with no management.
By the way, the communications management plan is an easy template that takes nearly an hour to be filled in (once, of course, all the data is available) and can be easily re-used for future projects. The communications management plan is often static - meaning it doesn't change through the course of the project.