Yes, you could do that.
But, if it's off, it's probably been switched off/left off intentionally.
It's one of the first steps in our pre-flt setup. Most crews know if the switch is on or not.
Asking probably won't help.
Personally, I don't turn it on.
And I specifically tell the f/a's to NOT say that it's broken, because that would be a lie.
It's switched off, intentionally. I think I explained why, somewhere else, maybe earlier in this thread.
So, asking wouldn't change my mind.
That being said, folks are always welcome in my cockpit, to come up and say hi.
When people stick their head in I invite them in, offer the jump seat to them if they want to sit and chat.
Kids always get my seat and a photo op if their parents want it.
I hand out maps and flt plans too if they want souvenirs.
If we were allowed, I'd invite you up in flight.
However, the Feds would have something to say about that.

It's too bad too. The view really is better.
There are spectacular sights to be seen from our vantage point.
When riding in the back I'm always amazed that some people NEVER look out the window.
Their loss.