If enough people cross their land over a long enough period of time (varies by jurisdiction) without permission, that creates a "prescriptive easement," which is essentially what you're asking for. Some decent info here: https://en.wikipedia.org/wiki/Easement#By_prescription
The interesting part is that the agreement is that the county will be buying about 400 contiguous acres and then the housing clusters will be placed in 500 of the remaining 600 acres, with the 100 acres weaving in and out donated once they do the platting. They’re pretty far along in the process, with zoning and approvals in place. There are still a few unresolved technical issues that could derail the whole thing, yet we are less than one month away from signing the agreement that will irrevocably force them to sell the 400 acres. I’m excited to reach that milestone and after that won’t care at all if the project falls through (the remaining land revert to agriculture zoning and a future developer has to start over from the very beginning).
We can. They exist. I've been in some of them.
What is lacking is places you would actually walk to. There are numerous parks and a pool. But that's it. Don't get me wrong, it's great if you have a dog or enjoy running or walking. But I still have to drive everywhere.
Or maybe we could build suburbs with these sorts of walking-paths baked in from the beginning. Mine was laid down in the 70s, so too late for that now...
Don't get me wrong - I love my neighbors, and I find that most people are amenable to reasonable requests, without needing the law to lean on them, but it would be nice to codify this a bit.