Natural rights do not exist intrinsically. They are inventive descriptions to aide in equal treatment of human beings. It's akin to "law." Law is a rigid set of precepts that can be changed.
Natural rights were invented in the Enlightenment period, during which time they were being formulated. Now we accept them as written in stone as an intellectual bench mark. But what humans do on a daily basis to each other sometimes fails to live up to these natural rights. Indeed, virtually all people struggle to bridge the gap between what they hold to be true intellectually and what they actually do.
The most recent rights declaration and certainly the most universally accepted version comes from the
UN Human Rights Declaration back in the 40s.
So to answer the OP, natural rights do not exist without a system (in this case government) that defines and enforces them. Moreover, they must have the ability to remove those who behave against natural rights as we currently understand rights.
Does this mean I or you are guaranteed to be treated according to our natural rights? Well, there are subtleties which are not so subtle once they actively target you. Take the Naturalization of Defense Authorization Act wherein the government defines terrorism any way it pleases and is able to detain any American citizen without respect of natural rights so it can protect "national security." In other words these "terrorists" are sent to where US law doesn't apply and thrown into an effective legal black hole where they are held for years and likely tortured without an inkling of a trial. However, the Human Rights Declaration the US signed 60+ years ago is fundamentally opposed to this.
But "doublethink" as Orwell called it, is essential to comprehend US government's actions or any power system. Doing one thing and saying another keeps those not actively targeted in cahoots and believing their nonsensical rhetoric.
Lastly, I want to say ask does this mean natural rights do not exist? They do and they don't. They are not inherent but it doesn't mean we shouldn't take them seriously. The UN Rights have been monumental in establishing justice where it had not been.
Furthermore, there are
studies being enumerated that demonstrate moral behavior that is consistent throughout all cultures. So hard-wired into us are something like principles or natural rights that enable us to fairly treat each other without having to sign the UN Declaration.
But as we all know, it's easy to deny someone fundamental rights and indeed, power systems rarely operate any other way. It is up to the people to keep fighting for just treatment and for us to keep expanding the parameters where rights apply, including economic rights or changing the whole concept altogether. One way to look at it is that we are held back by our narrow understanding of rights. We need to step back further and examine what a human life is and what is must have in order to be and basing a society on these findings, not on the profit motive that annihilates equal treatment.