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No, NAP is pretty clear. It's just some people treat it as a silver bullet, when it's only a fundamental building block. Libertarians are not against having contractual jurisdictions which would mandate being vaccinated on a certain territory, as long as you can quit that jurisdiction at any time. It's not clear that getting vaccinated would stop you from spreading the virus though.
Nobody is going door to door and arresting unvaccinated people. It’s not like the anti-choice law in Texas that criminalizes two people working together to stop a woman from being pregnant against her will. You still have your freedom under the NAP. But as soon as you present a threat to infect other people by being unvaccinated, there are reasonable restrictions in place.
Edit: I’m seeing replies saying the NAP is strictly about physical violence.
To that I ask, are bioweapons fine to use in libertarianland? Can I hold a city hostage with weaponized anthrax because the libertarianism is, at its root, a cover for voting Republican and not a coherent political philosophy?