If physics is right, there's no maybe about it, the sun will engulf the earth before it burns out, but all life will die before the sun gets close enough to engulf us, becuz of the increased heat, plus the moon is moving either closer or away from us, I can't remember, either way this will fuck up the angle that the earth is tilted at, and result in wild climate changes, and huge seasonal differences, irregular tides, which will kill a lot of things, and shit will have to evolve fast, so we will not be able to survive (but again we're talkin millions upon millions of years, and Humans will have turned in to something else by then anyway, if the urbanization of everything continues)

Like HipE sez, who givs a shit, its not gonna end in any of our lifetimes (think more 5 billion years from now, and if you believe humans are still gonna exist then ure deluded), if ure talking about the 'End of the World' in the movie sense of 'Those daaaaaamn commies took our joooooobs!' followed by nuclear holocaust and the extinction of mankind, then maybe, if sum crazy bastard decides to drop a big enough bomb for the hell of it.