>>2770082Easily possible. An acre is defined as enough land to produce all vegetables, fruits and grains for an average medieval family. Unless you're living in the retarded states, that is, where they used that definition on the east coast, and then just fixed the size for the rest of the country, but I digress...
Anyways, 1/4 acre is between 600 and 3000m2 in temperate climate. 1m2 can produce 5kg of potatoes easily, if enough fertilizer and water are available, so you're looking at 3000+ kg, or ~6000lbs even if you're just growing a potato monoculture. Add in some fruit trees (that'll provide shade for the veggies while needing almost no space) and let some chickens roam free on the field and keep some bees, and you're looking at more more than 5-10 tons of food.
And that's not just theory: on the 200m2 I've grown on this year, I've harvested around 40kg of cabbages, 20kg of tomatoes, 25 kg of apples, 13 kg of mirabelle plums, 5 kg of currants, around 150kg of eggs (didn't actually weigh them, just extrapolated), around 50 kg of honey and around 500g of beans (yeah, they didn't grow well). So more than 1,5 kg per m2, even with plants that don't produce high amounts, on a plot that hadn't been fertilized in 15 years.