You have a ~0.0005% chance to hit the Sun. If you don't hit that your chance to hit a star at any point in the future is well below 0.000000001%, most of that coming from the first ~1000 light years. If you don't hit anything in that region the chance decreases even more.

Here's another way to see this. In about 4 billion years, the Milky Way and Andromeda will collide and form a new galaxy. They predict no stars will collide with each other during the event

Note that there are billions of billions of galaxies all over the place, and each has billions of stars, and yet the chance to hit one of them is abysmally miniscule. This explains how big the space is.