No, it won't. I'll explain.....
In approximately 5 to 7.5 billion years, the Sun will have used up it's Hydrogen. In an effort to stay alive, it will start fusing Helium. In order to do that, it needs to become bigger and hotter. The Sun will then expand to a Red Giant, consuming Mercury, Venus, Earth and half way to Mars. When it gets to that point, the solar winds will slowly disintegrate Mars and strip away the atmospheres of the outer gas giants. Being that Jupiter, Saturn and Uranus are completely gas, they will just slowly evaporate to nothing. The only planet that will survive will be Neptune. It will too have it's atmosphere stripped away and will have nothing but it's solid rocky core. After another 500-Million to 1-Billion years, or so, the Sun will have used up it's Helium reserves and will collapse into a White Dwarf approximately the size of Earth and start using it's electron reserves. When this happens, Neptune will no longer have enough gravity to stay in orbit and be flung off into deep space as a Rogue Planet, to wander alone for the rest of time. After another 10 to 100 million years, the Sun will have used up the last of it's electron reserve and blink out as a cold dead rock in space.
TPBM feels kind of sad now.