The link between the particles occurs in a higher, “wrapped” dimension, where the distance is very short. Put two dots separated by a few inches on a sheet of paper and then fold it over so the two dots touch. Takes no time at all to move between the too-dimensional dots in the third dimension. Actually, the “link” between the particles is “always there” in the higher dimension, just like the surface of the sheet of paper is always there. Neither comes into being only when the signal is moving.
How about the link occurs at less dimensions. Photons, speed of light, from their reference frame time stopped (0 time running), no distance (length contraction maximum). From their reference frame no separation, regardless of what we seem to observe in our 4 dimensional (3 spatial/ 1 temporal) reference frame.