They can't do so directly, of course, because it doesn't apply to them. They can be an indirect factor in that privatizing anything that was formerly a government responsibility takes it out from under the protection of the Charter (and corporations will certainly push for privatization if they feel it's worth their while). They can also clog the courts required for the Enforcement section of the Charter with unrelated cases, although I don't know if this is a significant cause of legislative backlog at the moment.

(I'm just polaying devil's advocate, of course—the person you're responding to likely doesn't realize what rights are specifically in the Charter and was too lazy to look it up, even though the full text is on-line and it isn't a very long document.)