Is it possible to transfer a point from one camera to another, given n corresponding points?
Is it possible at any number of corresponding points n to derive a transformation relation from one camera view to another so that for an additional point p_01 known only at one image to be able to locate it on the second image p_02?


The answer is no - it is impossible. Each point on the image1 may in general correspond to an entire line on the image2 (see https://en.wikipedia.org/wiki/Epipolar_geometry). The homography matrix is a projection matrix of one plane on another and, therefore,  is useful when you have a plane object ( chessboard, book, painting etc.) pictured on both images.