Not to quibble, but we're born with rights, whether or not someone dies to defend them. The Declaration of Independance states:
"We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness."
True, others have given their lives to secure and safeguard those rights, but the rights existed beforehand.
Securing food is a natural right. As living beings, we must eat. Therefore, food is a human right, as is water. And that will lead a lot of people into very interesting political territory, but if hunting is a right, access to food period is a human right. I believe that to be so in both cases.