The distances are so vast, that essentially, yes. Think about two sailors in small boats, crossing an ocean in opposite directions, and how unlikely it would be that their boats collide. Now multiply that by several orders of magnitude.

One of my favorite factoids: if you fire a laser from the surface of the earth (and the beam magically stayed perfectly straight), you have a small but significant chance of hitting the sun or the moon, but anything beyond that, the scale is so enormous, the odds that your laser would ever hit a celestial body anywhere in the universe are effectively zero.