If you think that is going to happen, you can buy up some supplies and store them yourself. I have relatives with some impressive and substantial pantries because they're prepared to be snowed in for an extended period of time. Running out of food is possible the least novel problem humanity has ever encountered.
And what would you rather happen? If they don't store up a surplus then everyone will run out of food and prices will go up anyway. If there is less food because of a drought, prices are going up. If corporations start building up a stockpile then prices aren't going to go up as much as if there were no reserves.
TLDR; Yes. Good. It is a great day when there is food available at the local supermarket.
The world is bigger than your relatives.
I'm sure he was referring to already food insecure places. The rich countries will have food available, probably at elevated prices.
In places where there's actual famine people will do crazy things to get their hands on food.