Can people walk close enough to see the lighthouse?

Yes

It's on a rock/island formation literally a stones throw from shore. Check it out on Google maps. So you can only see it, but cannot walk around the building/s or go inside.

Yes you can get close but not actually next to it

You can get close but you can't walk right up to the lighthouse

The lighthouse sits on a small rock island separated by a small water channel. You can see it but you can't get to it

Yes..its divided by a steep cliff.

That's too bad. I would have loved to walk on the rock