Can I withdraw from my criminal complaint (regardless of the offense type/category) so that the perpetrator may not be further prosecuted?

A criminal complaint is undertaken by the State, even if you were the person who initially filed the complaint. In order to withdraw the complaint, you will really have to discuss the matter with the prosecutor. Obviously, if you do not wish to cooperate, the prosecutor may decide to dismiss, however, it often happens that the state can proceed with or without your complaint, if there are other means to prove the case, and the case warrants pursuit. The prosecutor (and judge as well) may also want to know why you wish to dismiss to make sure you are doing it voluntarily and not under any threat or compulsion.