Well, it appears to be a crude drawing of the US state Oregon. The uppermost city is probably Portland, and there’s a bunch of small towns located south and slightly east that are 4 hours from Portland
I mean, if someone moves to the other side of the planet, you won't both be able to see the moon at the same time, but at the end of the day, there is only one moon. We all see the same moon.
Opposite sides can see the moon simultaneously. It will be for a shorter period, but for all two points on the earth there should be at least a single time per moon orbit that the moon is visible by both at the same instant.
We can all see the dark side every month. That's what new moon is. It's the far side we can never see from Earth, since the moon is tidally locked. I think only a couple dozen Apollo astronauts have seen the far side with their own eyes.