Farming isn't an industry. It's just how you have a civilization when population density is higher than a hunter-gatherer lifestyle can support. People have been farming in Arizona for several thousand years.
The modern canal that runs through Phoenix is built on top of ruins of a much older canal built by indigenous people for farming.
Agriculture is largely practiced with industrial methods now, but it's been around a lot longer before proto-industrial methods (water and wind mills). For example, Egypt, as a civilization, benefited from the natural flooding and silt of the Nile. It's been the bread basket for empires for several thousand years. They were not using industrial methods two or three thousand years ago.
There are also other forms of agriculture that is not easily recognized by the narrow lens we have today -- such as perennial food forests, hidden in the ruins of Amazonian jungles, or the Pacific Northwest, or the forest that used to cover the lands between the Appalachia and the Mississippi river. Those were not organized with the concept of employment, and it is distinctively low-tech.
It both is and isn't. Have you seen PETA footage from inside factory farms? It's hellish in that special way only the industrial revolution could produce.