Ha no, though we do have those, they're usually known (at least up here) as country stores.
Farm shops are where a farm has diversified their business and sells local fresh produce. They usually have a speciality butcher who will sell their own meat off the farm or from other local farms. Fresh fruit and veg, loads of sweet things like home baked cakes, scones, biscuits. They are sort of like an upmarket deli really. Most of them have a cafe attached. Some let you go into the fields and pick your own fruit and veg at certain times of the year. They are catastrophically expensive but they are usually excellent quality.
I bought some pork and black pudding sausages, some minted lamb steaks and I went half and half with my mum on a fantastic lemon drizzle cake. Best cake I've bought in ages!
