First off. I love these debates with you. You have a formidable mind and you make a persuasive argument.

The disagreement here is over whether rights are granted or not.
Can a right be granted?

No it cannot be granted, it can only be acknowledged. This is what makes it a right vs a privilege.

Do people have a right to exist? If they exist, then they exist by right.

Do we have the right to make them no longer exist?
Yes and we do it all the time. We are a species that is remarkably proficient at killing eachother. This happens every day from war, poverty, famine even state sponsored executions.

So bringing it back to your question.

Would you sign a contract that grants me a right to food whether or not I provide you food or compensation?

This is known as charity and it happens all the time. Charity is an acknowledgement of a person's right to a baseline level of human decency by virtue of being human without any need for a formal contract.

Charity needs to be forced in some cases by the government, because all resources are now claimed.

You cannot simply go and hunt or fish or wander out onto a plot of land and extract resources, without the government which is the will and rights of other people, being violated.

Thus the government extracts resources from the majority who benefit from this monopoly, in order to ensure that the minority who could truly utilize these resources, do not unite and tear down the government...

As is their right.

So to simplify...
Rights cannot be granted by contract. They can be acknowledged and even enforced by contract. But whatever is yours by right, is yours by right and exists outside of any system of law. You just have to make sure your rights are asserted properly.