Yes, there are ways to sue the courts themselves, but not for something like this. The suit would generally be in the form of what's called a Writ of Mandate. It's basically a lawsuit for when you have no other legal recourse for something. For example, if you went to a courthouse and asked for a copy of a statutorily public document but they refused to give it to you, you could file a such a writ. It would force the court to at least give you a hearing before a judge, who you'd ask to compel the court personnel to give you what you asked for.