So, if someone chooses to be a farmer, do I have the right to compel them to feed me?
Well, yes, at least indirectly. A portion of our taxes go toward buying food for the poor. It's called "food stamps", and I believe every state has such a program.
And occasionally the government has a bright idea. When farmers are having pricing troubles, the government sometimes purchases a portion of their crops at a low cost to give to the poor. This raises the price of those crops and simultaneously feeds hungry folks. Society as a whole benefits (since farms create wealth and help provide security for the country, so it really is bad for them to fail).
Finally, the government gives tax breaks to people and companies that assist the poor through charity. Some of these charities help the poor get regular meals. Most folks, whether they agree with the above programs or not, seem to agree that this system is useful.
So, yeah, in our society I have the right to compel folks to feed me. I can't walk into farmers' homes and help myself from their fridges, no, but throughout the nation, at both the federal and state levels, we've voted to make sure people have access to food regardless of their financial circumstances.