Dear Anhelyna,
Yes, Western Rite - using the ancient Western Liturgy. The Holy Synod of Russia authorised the re-introduction of the Western Rite in 1870 and again, at the request of (Patriarch Saint) Tikhon (Belavin) in 1907.
Since that time the Russian Church has authorised the Saint Colman Prayer Book which contains most of the ordinary services - the Offices, the Liturgy, Baptism, Marriage, Burial etc., services. This service book is now used in America, Australia and England.
Saint John of Shanghai, Metropolitan Anthony (Bloom) and other heirarchs have celebrated the Western Rite themselves, three Western Rite bishops were consecrated during the course of the twentieth century (one by Saint John of Shanghai). The Russian Church has three Western Rite Monasteries, and Western Rite in the Russian Church is monastic-led.
Having said that, the difference between Western Rite Orthodox and Eastern Rite Orthodox is only the Liturgy - ALL the rest of Orthodox teaching is identical. After all, for more than three quarters of its existence, the Orthodox Church has had Western Rite - so it woulod be an abberration for it not to be there within the bosom of Holy Orthodoxy. Remember that a Western Rite monastery (Amalfion) was a founding monastery of Mount Athos, there was a Western Rite church in Constantinople long after the Great Schism - and another in Jerusalem. The only reason that the British Isles became schismatics was because the pope paid the Normans to invade and bring his heirarchs with them. Had this not happened, Britain may have remained Orthodox throughout the last millennium - with no protestants.
Fr. Michael