This is such a nonsense talking point. No right that you have compels any other private citizen to do anything. You do, however, have plenty of rights that prevent people from doing things to you. And no, you don't get twist it around and say that people have to do something to prevent them from doing something to you. Sorry.
Oh sorta like how people in restaurants don't have to wash their hands. Or doctors don't have to wash their hands. And others don't have to pass their drivers license test to drive on the roads. And public school students don't have to get vaccines. And people who serve in the military don't have to get their vaccines. And factories don't have to provide safe working conditions. And landlords don't have to inspect and maintain their properties. And drivers don't have to replace their tail lights when they're busted. And you don't need to clear your sidewalk after snowstorms. And McDonald's doesn't need to keep their coffee below a certain temperature and display hot warnings on their cups.
If you'd consider for a second, you can come up with some of your own to debunk your own previous hypothesis.
There are _countless_ examples where when you want to exist within society, you must act in order to prevent harms to others.