probably yes. It can be a crime if the state penal code so provides, it also can be a tort (a civil wrong that would lead to damages), for example misrepresentation, abuse of process etc.
Thank you so very much for your answer. I have been trying forever to find exactly what this would be considered in the courts. I had a feeling that this was illegal. Do you have any insight on how to find specifics on Ohio's penal code about this situation? Maybe a web site or something?
What would make you think it is permissible to file a false complaint with the court any more than it would be to make a false police report against you to the police?