Yes, technically this is easily possible. While many clauses will probably be written with one specific team or department in mind, one can imagine a number of clauses that are useful to everyone. Typical examples would be a clause containing a signature block or a governing law clause.
Technically, for a clause to be available to all users of a specific customer, that clause should be located in a library that all users have “use” rights to. If there is no such library currently in your organisation, please contact your administrator.
From a legal perspective, we would however want to warn for not becoming too enthusiastic about the possibility to share clauses across departments in different legal domains. In theory, it seems attractive to draft a single clause that works for very different domains, but in practice this goal has been the reason why many templating/standardisation projects have failed.
We have heard stories about lawyers who tried to draft a template that would please everyone. Apparently, even when these lawyers were from the same department, this resulted in significant discussions about even the simplest clauses (such as applicable law or party descriptions), e.g. because two partners had strong but opposing views about certain wording.
Ultimately, legal drafting is complex and nuanced, and ClauseBase was developed to allow different legal experts to choose different clauses. As suggested above, clauses that will be shared across departments, will probably be limited in amount.