How to put iron golem farm away from other beds and workstations

I watched the video and I don’t see why not - though it would be much more difficult to build and get your villagers up there.

That iron farm design is very finicky (though it's sadly still one of the better designs). When it's not working it tends to be for these reasons:

1. A villager cannot reach its workstation.
2. There is an extra villager somewhere not linked to a bed.
3. A villager linked to some other bed outside the farm, causing your center of the village not to be where needed.

Golems will spawn, but not where they need to, if the problem is #3, so if by "not working" you mean no golems are spawning, then the problem is #1 or #2.

For a golem to spawn, all villagers need to be linked to beds and there need to be enough villagers working at workstations they can reach. What I recommend is that you break all the workstations and beds to start over. Place all the beds and make sure you can observe the green sparkles for each bed placed. For good measure, place an extra bed and make sure no green sparkles appear. If they do, that means there was an unlinked villager. Keep placing beds until there are no green sparkles. Then you need to be absolutely certain the workstation you placed linked to a villager in the respective pod. You can see who would link to the next placed workstation by putting it down randomly somewhere and observing which villager pod had a villager with green sparkles. You must then break and place that workstation at that pod.

You should not have to build too high up.