From that article the best case scenario is a billionth the acceleration you are looking for. And you can’t take a billion stars because then you have more mass...
Edit: the interesting part of discussing the 1g is probably less a realistic proposal and more how about how the concept of acceleration quickly runs up against our mental constructs of what acceleration and distance means. I don’t know the source, but it’s probably an enlightening to discuss what it means in the context of relativity.
Ok, it would be exciting to move the whole solar system to a nicer place in the galaxy. But how many years are we not going to use to evaluate the ethics and technical risks of the experiment? :)
https://en.m.wikipedia.org/wiki/Stellar_engine