No, we couldn't live on any star. We would perish long before reaching the surface.
To clarify, the sun outputs a vast amount of radiation which would destroy any biological form. Furthermore, it is extremely hot, at 5,500 degrees celsius (10,000 Fahrenheit) at the surface, with an atmosphere of several million degrees. And finally, the gravity at the surface is about 28 times that of Earth's surface. So, even if you could somehow shield yourself from all that heat and radiation, you would be squashed flat.