Not without any other relevant experience to speak of, no. I've seen good communicators beat out poor communicators, but there is almost always something else that makes them attractive to the employer as well.
I agree there is often something else required too - but not always in a 'first' or 'graduate' position.
I believe the topic however centred around communications skills as ancillary to other technical skills that were part of job description.
Sorry if I caused confusion.