You could, but it would be cost prohibitive in a real economic sense.
You run overhead wires where you know you will repeatedly have a large demand for power, and you pay for it once in the capital outlay to put up the wires and other scaffolding.
In other words, you want to do this where (average demand / (fixed capital cost (which correlates to peak demand)) is relatively high. The middle of the farm field is the exact opposite of that: power demand is bursty and very infrequent, so utilization will be a few orders of magnitude lower.
You run overhead wires where you know you will repeatedly have a large demand for power, and you pay for it once in the capital outlay to put up the wires and other scaffolding.
In other words, you want to do this where (average demand / (fixed capital cost (which correlates to peak demand)) is relatively high. The middle of the farm field is the exact opposite of that: power demand is bursty and very infrequent, so utilization will be a few orders of magnitude lower.