[Zeke]

I stand corrected on my post. I did think about it and then posted incorrectly in spite of knowing better.

If the switch is wired as a switch leg, the white won't be a neutral and you can't make a circuit to the fan from there, only the plug in the wall. Sorry about that. Look in the box where the switch is and see if there is only one romex coming in. If so, it' a leg. No matter how you go about this, you will have trouble with room if these boxes are single gang.

Get an electrician so's ya don't have to listen to idiots like me.