As nouns the difference between wrick and sprain

is that wrick is a painful muscular spasm in the neck or back while sprain is the act or result of spraining; lameness caused by spraining; as, a bad sprain of the wrist.

As a verb sprain is

to weaken, as a joint, ligament, or muscle, by sudden and excessive exertion, as by wrenching; to overstrain, or stretch injuriously, but without luxation; as, to sprain one's ankle.