Not in the developed world. The average citizen of the U.S.A. is far from living on a knife's edge as far as food is concerned. They're not even sitting on a spoon. Prices would rise, less grain would be used in feedlots, investments would be made in greenhouses and biological and mechanical methods of pest control. Restrictions on illegal workers would be eased up to provide cheap labour to implement these practices.

Of course, if you are living in a poorer country and are already spending 30% of your income on basic, unprocessed foodstuffs, then any increase in price will be very painful and possibly fatal.