Yes it is, it's not privately run but controlled by the state nor do taxes mean people pay proportionally to what they use. This is at the very least nationalism with a tendency towards socialism rather than free-market capitalism.
That is wrong on so many levels.
The state doesn't decide where hospitals should be or how they are run, nor do they own them. All health care means is that the state pays for it. Any regulation isn't control more than meat inspectors make food inspectors socialism.
Roads and bridges are state owned property, and the industry in building them is very controlled by the state. Nor do people pay taxes proportionally to what they use. Fire and police stations are not privately nor do people pay taxes proportionally to what they use.
The fact is, for a properly functioning capitalist society you need certain things done by the government. You need clean air, safe food, solid roads, police to keep you safe, fires need to be put out and prevented, a military to protect you, and people need to be healthy. It isn't socialist, it is common sense.
When the government decides you can't own a widescreen television and instead must use government owned tvs produced by government owned factories you can start to say that might not be capitalist...