They may intersect. Below is a part quote from JAR-OPS.
(i) They are separate landing surfaces which may overlay or cross such that if one of the runways is blocked, it will not prevent the planned type of operations on the other runway; and
(ii) Each of the landing surfaces has a separate approach procedure based on a separate aid.
If you accept crossing runways or not is, of course, very dependent on your view of life.