no... you can't make mayo with cooked eggs.
you use fresh eggs, which is the reason some people shy away from it - they're afraid it will make them sick with salmonella. I've never known that to be true though.
thanks so much! I copied both ways of making it - I have a stick blender so I'll try that first with olive oil. (don't have my own chickens yet, but got fresh eggs the other day when I was visiting the chickens)