No. Cyprus is part of the European Union, but it is not yet part of the Schengen zone.
The EU is a political union of 27 independent countries that have formed the Eurozone with a common currency — the euro.
The Schengen zone consists of 27 countries with open borders, meaning you can travel without visas within the Schengen area. But don’t worry— with Cyprus PR, you can easily obtain a Schengen visa directly on the island in just a week, without needing to return to Russia. However, with a Cyprus passport, you will have access to the Schengen zone and over 140 other countries!