Yes you can say it that way.Certainly it sounds more formal than saying "get good communication skills. To establish has several meanings and one of them is "to bring into existence." Usually it is used in connection to laws or institutions or to prove something. Hope this helps! John

I don't think it's a good expression. Everyone has communication skills, so we don't have to build "communication skills". What we do is to establish or build or develop "good or better" communication skills. How do you think?