A court couldn't outright ban a person from filing lawsuits, but very occasionally, one will require someone to get prior judicial approval before serving and filing. But Davis is many complaints away from such an eventuality. It takes a
really extreme plaintiff filing borderline (serious) craziness for that to happen... (And while I personally think Davis is clearly a nutjob, speaking objectively, her lawsuits to date aren't
that kind of crazy. Wrong-headed, lacking support, borderline frivolous, yes - but not
crazy crazy...