I've spun a plane precisely once. The control and power inputs were so abnormal and extreme, to me, that I always find it astonishing that it happens accidentally.
I mean, every stringer and flight control was screaming "Danger!" as we approached the break. It was obvious that the plane was extremely unhappy, and it was telling me in no uncertain terms.
My guess is that you would have to be completely absorbed doing something else (like, say, restarting a stopped engine, or trying to clear an obstacle) in order to unintentionally get into such an extreme flight regime.