Also take care to inspect, carefully, what these figures represent. This graph only counts transportation of final food product to stores under the "transportation" category: "Emissions from energy use in the transport of food items". In other words, the emissions from taking the packets of meat from a slaughterhouse to grocery store shelves. Not shipping loads of grain to ranches. The actual article [1] this image comes from explains this more clearly, "Food transport accounted for only 5% of this. This means that if we were to take the case where we assume a household sources all of their food locally, the maximum reduction in their footprint would be 5%". Transportation of feed to ranches is categorized under feed, not transportation.
This is why estimates for the amount of carbon emissions meat is responsible often vary by a large margin. Some place meat, alone, as responsible for 14-19% of emissions. Others place all food production (not just meat) as under 5%. It largely depends on whether you include things like transportation, nitrogen fixing via the haber process, and land conversion under the umbrella of food production or in their own separate categories.