You don't need to hit every satellite. You only need to create a lot of debris, and that'll do it for you. Alternatively the radiation from a nuclear blast could take out a big chunk of the network, which is presumably why Russia is working on orbiting nuclear weapons.
Actually its not that easy even if you did create some debris. Orbit is much bigger then people think. And these sats are much smaller then people think. Without propulsion lots of that stuff quickly drops below the level of the sats. Sats can also raise their orbit in response and fly corrections.
Even modest investment in better tracking could massively improve crash avoidance. It would take far more then a handful of sats to truly impact the functioning of the network. And even more to complete take it out.
Russia is working on everything if you believe their marketing. I seriously question if any work on 'orbital nuclear weapons' is anything other then marketing. And its questionable how effective that would actually be.
This isn't as easy as people think. A country like Russia might have some readiness of nuclear weapons. And maybe a small readiness of anti-sat weapons, but not anywhere close to enough to attack a network like Starlink. Preparing for something like that simply wasn't a thing anybody considered necessary until 2020 and Russia certainly hasn't invested huge amounts of money in that since then and given their recent success with rocket development, I not sure how effective it would have been even if they had.
