Peter Green Chilled is a firm based near Shepton Mallet in Somerset that transports chilled food, mainly to regional stores.
There are much larger chilled food distributors in the UK - for example, Lineage, GXO, and Culina.
An industry source said these big firms, which distribute the largest volume of chilled food in the UK and internationally, have the resources to try to combat cyber attacks, while smaller firms may not.
However, Phil Pluck, chief executive of the Cold Chain Federation, said the warehousing, food storage and distribution sectors were "constantly under attack".
A few years ago, there were a few cyber and ransomware attacks, but in the last year there has been "a huge increase", he said.
About half of the food consumed in the UK "goes through the cold chain sector", he said, so hackers "know how critical" distribution is for "putting food on supermarket shelves".
He added that was "a really good lever to put the pressure on our companies to actually pay that ransomware".
Mr Pluck said that he knew of at least ten attacks on member companies, but that firms like to keep attacks "under the radar".
He said cyber attacks were "hugely underreported" in any sector "because once you're attacked you lose control of your company" both through the attack and the mitigations by police and insurers.
Co-op narrowly avoided being locked out of its systems during an attack which exposed customer data and caused shortages of stock.
A ransomware group claimed responsibility for the attack on M&S which saw customer data stolen and empty shelves. The retailer itself said it had suffered a cyber attack.