No.
"Customers" in agriculture are mainly factories for livestock or factory buyers/other farmers at marts. In dairying you have creameries. Tillage I am not so well up on. So you are selling to companies. Middlemen. Who then sell on to supermarkets etc, then to the consumer.
I have often seen direct sales being tried out, inevitably there is a lack of reliable customer, too great a distance from population, distribution too time consuming, costs high.
CAP is there to do many things, control the price of food, provide public goods etc. However it does not control the price of in