Mistaken Identity Should A Person Wrongly Accused Of Rape Be Allowed To Sue An Accuser When It's Not A Case Of Mistaken Identity?

Should a person wrongly accused of rape be allowed to sue an accuser when it's not a case of mistaken identity? - mistaken identity

In the case of a person accused unjustly of rape should be allowed to prosecute the accused, if there is a case of mistaken identity?
The law is not something that I studied in depth, because it is one of my strongest subjects.