Look up into the sky. Do you see the light from the Sun? That didn't get from the Sun to your eye instantly: it took 8 minutes. If you look at Alpha Centauri, that light didn't get here instantly either - it took more than four years to get here.
In other words, if Alpha Centauri was to explode tomorrow, you wouldn't know about it for four years, since the light from the explosion would take that long to get here.
But just say a traveller left Alpha Centauri a day after it exploded, on board a ship that could travel at twice the speed of light. He would arrive here in two years, and tell you "In two years Alpha Centauri will explode." Isn't that time travel?