We are not remotely on the edge of famine. Something like 80% of our crop production goes to feeding very calorie inefficient livestock. In any real famine they would be slaughtered and their food intake would be redirected to human consumption. We are nowhere near the limits of the population Earth can support, at least food wise.
Us rich people will probably be fine (unless the situation was decades long), but many people in the world won't be able to pay the higher prices. If you are currently spending 70% of your income on food and prices triple then you will starve.
