Kind of? They call it that sometimes but it doesn't look like a true no first use policy in the same vein as China's and India's. Putin also threatens nuclear weapons if NATO troops were to get involved in Ukraine, and openly questions the policy.

https://www.cnn.com/2022/12/09/europe/russia-putin-nuclear-weapons-intl/index.html

I'm not sure any nuclear country would stick to these policies if they truly faced an existential threat, whether that threat was nuclear or not. Russia's policy has a carve out for any existential threat including conventional weapons. US and Russian policies are pretty close, basically okay to use for any existential threat. Doesn't hurt to try and negotiate more no first use policies and reinforce the norm though.

Looks like the UK, France, and Pakistan also lack no first use policies.

https://en.m.wikipedia.org/wiki/No_first_use

As far as I can tell the article is correct, China and India are the only current nuclear powers with true no first use policies. If that's incorrect happy to learn more though. Israel not on here cause officially not a nuclear power, but hey we weren't born yesterday.