Food Bank Access to Farm Fresh Produce Act of 2020 This bill directs the Department of Agriculture to provide specialty crop block grants to each of the 20 states that have produced the highest quantity of specialty crops during the most recent three-year period to fund certain state food banks and food access networks. The grants may only be used to (1) procure and distribute specialty crops; (2) purchase, lease, or otherwise acquire vehicles, including refrigerated vehicles, or other equipment to carry out activities related to procurement and distribution of specialty crops; (3) pay for the cost of additional personnel; (4) pay for travel relating to procurement of specialty crops; and (5) pay for preparation, storage, and transportation of specialty crops, including delivery to end-consumers. Each grant provided to a state shall be not less than $100 million.