I don’t know whether the new ivy growth will follow the exact path of the old growth, but it’s possible. The details of how English ivy attaches to its substrate aren’t fully understood. It is known that the plant produces an adhesive to attach to a surface and that it follows a suitable path for growth, which is generally one with crevices. It may change the environment around the aerial roots, or rootlets, to produce a firm attachment. The new growth may follow the path of the old because that’s the best route for attachment.