In 1995 Chechen anti-tank teams drawn from the local civilian population disabled a whole Russian tank battalion while suffering very few loses themselves. You can do a lot with volunteers on home territory.
The Ukrainians are in a struggle for self determination, these people are volunteering and they should be able to if the want to.
Chechen anti-tank teams were facing very poorly prepared and motivated, and almost entirely conscript, Russian army in 1994-96. With tanks in particular, inexperienced commanders who were given orders to "get it over quickly" would often send them without infantry screens, making them easy pickings for RPG teams. And in urban areas especially, RPGs were used from basements of apartment buildings - low enough that Russian tanks cannot depress the main gun to lob a shell in there, or use the co-axial MG.
None of this is likely to apply in this case. Russian armor is still likely to take heavy casualties in the cities - that's just the nature of urban warfare - but I don't think it'll be anything like Chechnya in the 90s.
Looks like the Ukrainians, at least as of today, have NLAW shoulder fired anti-tank missiles which are a hell of a lot better tan the RPGs the Chechens had. Apparently you just need to shoot over top of the tank, and don't need direct line of sight. There a some videos up on twitter of them in use.
AFAIK The Chechens were ex soviet military and had been operating a large scale black market for weapons - so they had plenty on hand. Towards the end of that conflict Russia started using AA guns on the tanks to counter the ambushes. I’m pretty sure they learned a lot from that experience.
They were, but a lot of Ukrainians have military service experience. It also seems like Russia didn’t learn those lessons, and others. Their armor looks to be stretched thin. In urban fighting having lots of people firing from a lot of places on advancing Russians will make it hard for them to focus air support. Just pinning down small groups of Russian infantry will allow the Ukrainian army to roll them up if they can maintain mobility.