All right. So you have decided that we have this hypothetical capability to send objects or signals between two arbitrary events in space-time. And just so we are not cheating too outrageously, we will require that the points be "space-like separated". That means that you cannot directly link one event with another that is unambiguously in its past. In other words, you can't send a signal directly to an event from which you could then hand-carry a response back the other way.actually it is what I am trying to express
The point you seem to want to make is that this capability does not count as "Faster Than Light travel" because you can divide distance covered (on the hypothetical short-cut non-folded path) by elapsed time (on a wrist watch carried on the short-cut non-folded path) and arrive at a figure less than the speed of light (c).
That's true. You do not need to call this faster than light if you do not want to. But that's just word choice. It does not affect the physics. If you can get a signal from point a to point b and the signal can get there faster than light could (following the normal long-way path) and if you can do this for any pair of space-like separated events then that is all that is needed to construct a tachyonic anti-telephone and start generating paradoxes.
You could also Google for "closed timelike curve". A path that goes from point a, FTL to point b, FTL to point c and then snail mail back to point a counts as a closed timelike curve.