But how would that happen in an area where no volcanic activity takes place
Actually, an area like that wouldn't have enought heat and pressure to bend rock.
Go lower. Way lower. Try the asthenosphere.
What I was alluding to was that solid rocks can't bend, because of, say, the earth's plates shifting
That would, actually, bend rocks. See, there are more boundary types than just what you have in California (San Andreas Fault). You know, like India. Sliding underneath asia. Where else did you think the Himalayas came from?