Is it possible to change a domain name to another one (which is free at the moment) without any charge?

It is NOT POSSIBLE to change the registered domain name.

You can only register a new one.

Information: info@r01.ru
Support: support@r01.ru
Office: 1 Bolshoy Gnezdnikovsky Lane, building 2, Moscow (Tverskaya metro station, entrance No. 9, Voznesensky business center)