Is there any authority in Ukraine where you can turn to with a request ...?

YES, there is a structure to which you can turn to with a complaint about a judge.

Any person has the right to file a complaint regarding a judge's disciplinary misconduct (a disciplinary complaint).

Disciplinary proceedings against a judge are carried out by disciplinary chambers of the Supreme Council of Justice in accordance with the procedure established by the Law of Ukraine "On the Supreme Council of Justice", taking into account the requirements of the Law of Ukraine "On the Judicial System and the Status of Judges".

A disciplinary complaint is submitted in writing and must contain the following information:

1. surname, first name, patronymic of the complainant, his place of residence (stay) or location, numbers of means of communication;

2. surname, first name, patronymic, and position of the judge(s) against whom the complaint was filed;

3. specific information about the presence of signs of a disciplinary offense in the judge's behavior, which, in accordance with Part 1 of Article 106 of the Law of Ukraine "On the Judicial System and the Status of Judges", may be grounds for disciplinary liability of the judge;

4. reference to factual data (testimony, evidence) confirming the information specified by the complainant.