There are piezo actuators you could certainly feel but not sure they are made of quartz, maybe PZT.

You mean could you get it down to a low enough frequency? Hmm I guess you can get down into audio frequency but maybe the amplitude will be tiny, you probably want a piezo mechanism that will give you more of a rumble.

And a similar question: if you took a normal magnet and rotated it very quickly, say 10k rpm, would it emit an RF signal at (10k/60) hz? I'm 95% sure the answer is yes but I've never seen this demonstrated.