There’s so much empty space, a random shotgun blast would be unlikely to hit anything.

Here’s a video about it: https://m.youtube.com/watch?v=OjdE-Q3yDYQ&pp=ygUvdHJhdmVsIGF...

For example there is ~4 light years of empty space between us and our closest star.

And if you come upon a solar system but don’t hit a planet you’d probably get ejected into empty space.

And even if you did hit a planet, you could end up on water, land, lava, etc., so I guess you’d have to account for all possibilities, plus keeping your biological cargo alive during the extremely long journey.

So it would have to be a heavily calculated trajectory and heavily planned cargo to find much success.