As others have said, this article is not very accurate. Annual crops produce over a short window, so one would need to have successive crops lined up in order to keep the space productive. Growing something to get only one harvest is a very poor return on investment. If one wants to survive without depending on "the system" at all, then trying to do so outside of the equatorial zone is living life on hard mode.
Near the equator, one could survive on only bananas for a while, and that would take a small fraction of a hectare, probably about as much space as this article talks about, but realistically, eating only banana long-term is not feasible, and growing more variety requires more space. There is also the feast-or-famine issue if the gaps between harvests are too long. Preservation of the harvest is time-consuming and requires infrastructure that not everyone has (e.g. refrigeration). Living in a neighbourhood where everyone is growing food in order to survive would allow for trade, and so each individual/household would not need to diversify their food production as much, and someone's excess that they cannot preserve could fill someone else's harvest gap, reducing the total amount of land that each requires. Ideally, that's the way to do it, and some people are trying. Tree fruits make the most sense as staple foods, since they become self-maintaining after a few years (other than pruning to control size), and in a sufficiently diverse food forest ecosystem, the trees won't deplete the soil or invite plagues, so they don't require externally-produced fertilisers and -icides. With enough different species and a fairly non-seasonal climate, it's possible to grow enough fruit year-round, with some high-calorie staple(s) always in season.
But lettuce and lima beans? Good luck with that.
This is an excellent idea, much needed and long overdue! If this takes off, then it'll be an important part of a sustainable future (along with the transportation technology to make the swaps possible, of course.)
It's not clear from looking at the site whether this is for exchanging seeds too. Seeds are much easier to transport, so it makes sense to also include listings for seeds. I recommend asking people to indicate what time year their seeds are available, as many seeds have a short viability.
Another important inclusion would be information about transporting seeds and plants long distances. That could include guides on how to prepare and pack them as well as information about seed-/plant-friendly transportation services in various parts of the world. I think that people who offer such a service (and can provide proof of it) should be allowed to make a listing for their service as well.
There's a lot of potential here! If you like these ideas, I'll gladly discuss further over DMs. :)