No, there are not.

Perhaps surprisingly, there are cases of Germans being punished for being too undisciplined and brutal while killing Jews, or for unlawful killings of non-Jews at concentration camps. An example of the latter was Karl-Otto Koch who was tried for various offences as commander of Buchenwald, of which murder was one. This referred to the shooting of one or more inmates while "trying to escape". The main rationale of his conviction and execution was that he had disgraced the SS by his actions which included shady financial dealings, drunkenness and sexual shenanigans.

The same reasoning lay behind the case of Max Täubner. On October 26, 1942 an order was sent from the offices of the Reichsführer SS (Head of SS Heinrich Himmler) to the SS Court Head Office in Munich, on the occasion of the trial of a certain Reserve Lieutenant Wölfer for the “unauthorized shooting of Jews”. It says:

The most important factor to consider when deciding whether and how to punish men for shooting Jews who have not been ordered or authorized to do so is the motive for this action.

(1) Execution for purely political motives shall result in no punishment, unless punishment is necessary for the purpose of maintaining order [in which case] they should be punished under section 92 [detention for up to six weeks] or 149 [imprisonment for up to five years] of the MilitärStrafGesetzbuch [Military Penal Law] or some other disciplinary punishment should be enforced.

(2) Men acting out of self-seeking, sadistic or sexual motives should be punished by a court of law and, where applicable, on charges of murder or manslaughter.

I don't know what happened to Wölfer, but this directive was also applied in the case of SS Untersturmführer Max Täubner who was court martialed in May 1943 for

a) three unauthorized mass killings of jews, and in particular the excessively violent and sadistic manner of the third mass killing – sentenced to five years because although the court recognised that "the Jews have to be exterminated and none of the Jews that were killed is any great loss", nevertheless "the accused allowed his men to act with such vicious brutality that they conducted themselves under his command like a savage horde".

b) taking pictures of mass executions and showing them to family and friends while on leave – sentenced to three years

c) the unauthorized killing of a Ukrainian militia man – sentenced to two years

Overall verdict: sentenced to ten years, expelled from the SS, deprived of civil rights for an additional ten years.

Täubner was pardoned on January 16, 1945 and sent to the front.

Source: Klee, Ernst, Willi Dressen, and Volker Riess. " Those were the days": the Holocaust through the eyes of the perpetrators and bystanders. Hamish Hamilton, 1991.