Yes, you can. That's how I always get that one.
Yes, but instead of sparking to get it, you'd be better to run in, spark left, wall-jump up, through the door, collect stuff from further on (it's all one big dead end), and collect that on your way back through, since you're already up on the ledge anyway, and you can arc out and round the barrier there, so you're next to the switch. You can then jump across to it.