There are futures markets for livestock, but that's not going to cut it for the high-end restaurant market that this example comes from--the restaurants this story is about are internationally famous and will have exacting food quality standards that are hard or impossible to meet from a futures market. The suppliers they work with are in turn focused on supplying high-quality meat and produce that isn't really interchangeable enough for a futures market.

Farmers who grow commodity crops (corn, soybeans, etc.) or commodity livestock often do use futures markets in the way you describe, or work with financiers who essentially do it on their behalf.