Yes, some criminal cases can be prosecuted by private prosecution. There are three types of cases of private prosecution: 1, cases that are handled only after being informed, here only refer to cases of insult and slander; Violence interferes with freedom of marriage; Cases of abuse; Case of embezzlement of other people's property. 2. The victim has evidence to prove a minor criminal case. Here refers to cases where the circumstances of the crime are minor and may be sentenced to criminal detention, public surveillance, a single fine, fixed-term imprisonment of not more than three years and other minor punishments. For example, minor injury cases and bigamy cases. 3. If the victim has evidence to prove that the defendant has violated his personal rights and property rights, he shall be investigated for criminal responsibility according to law, but the public security organ or the people's procuratorate shall not investigate the criminal responsibility of the defendant.