Not unless we leave some on the outer planets or their moons. And maybe not even then. As the hydrogen fuel is consumed it is converted into helium, which expands the sun. As the burning of the Hydrogen fuel is able to keep the sun expanded, when it is exhausted the massive gravitational forces will collapse the sun into a Black Dwarf. Stars expand as they grow old. As their core runs out of hydrogen and then helium, the core contacts and the outer layers expand, cool, and become less bright. This is a red giant or a red super giant (depending on the initial mass of the star). It will eventually collapse and explode. A star's life span and eventual fate are determined by the original mass of the star.
