No, all long-distance passenger trains are under the subsidiary called Federal Passenger Company. In the freight sector, there are two big subsidiaries (Freight One and Freight Two) which AFAIK are supposed to compete across the whole country, plus some specialised ones (like TransContainer, 35% of which was privatised via stock market listing in London and Moscow). I don't know how the latter relate to the former.

This is a different route to privatisation than either sell-off of complete sub-networks (Japan), franchising (Sweden, Britain) or open access (EU), but I won't hold my breath for a good cooperation between the different subsidiaries even if RZD has a stake in them all.

_{*Lunatic*, n.
One whose delusions are out of fashion.}