Q:

Multi extrude a vertex in the coordinate direction

I' want to multi-extrude one vertex to the coordinate axis it is possible in blender without doing it manually here is an example.

A:

I've uploaded on GitHub a script that allows you to extrude selected vertices in all directions.
https://github.com/parameciostudio/extrude-vertices-all-directions
You can set the amount and choose whether select created vertices or not.
How to install
Open up extrudeVerticesAllDirections.py in the Text Editor and press Alt+P
How to use

Select a mesh object and toggle into Edit Mode (Tab)
In the MISC tab of the Tool Shelf (T) you'll find a new Extrude in all directions panel
Set the extrusion amount and whether select new vertices or not (if not, original vertices will still selected)

