Many of the emigrants of the 1800s ended up settling "new" land in the US. But there's vast territories around the world that are extremely inexpensive. Since the 1800s we have grown more dependent on the services provided by the state in urban areas.
Nowadays, you really can't.
Somehow I think the owning class will come up with ways to make this illegal or impossible.
That's what the poster above meant by "the primary income sources from open spaces now requires massive amounts of capital to be competitive", and owning these robots would be the massive amount of capital; you'd be able to sustain yourself because (and if) you'd have a lot of very expensive robots, not because you just had some land; and you'd also be able to sustain yourself by just investing the value of these robots.
Although those places are not very conductive to farming...
Alaska is largely government owned. It's empty, but that doesn't mean that you can take a chunk of land there.
So there WAS vast expanses available by that time, even without intentional genocide (which also happened).
2. There is still a huge amount of open space in America. In 1800, there were only 5 million citizens, compared to 323 million today.
3. Natives lived all over the continent. Europeans landed where the ocean ended.
A large percentage of the land battles of the War of 1812 were fought between the US and natives because the US wanted the land of the natives to become open space so the natives allied themselves with Britain.
Lewis and Clark would not have survived or even made it to the coast if they had not had help from most of the tribes they met along the way. Of course we displaced all of the natives they met eventually.
I just read https://en.wikipedia.org/wiki/Lies_My_Teacher_Told_Me so that may bias my opinion.