Is it possible to quickly register a domain name if you reside in another city, i.e. without sending correspondence by mail

Yes, it is possible.

Sign an offer agreement at the website and act in accordance with the general guidelines.

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)