Arrows kill by creating blood loss.
There just isn't the shock and bone smashing power that a high velocity firearm has.
You HAVE TO WAIT with agrchey gear.
There are exceptions to every rule however...

I have also heard of many bulls recovering from bad archery hits.
A friend of mine shot a gigantic bull in Arizona this year that had a broken arrow shaft healed over on the outside of his ribcage, pretty incredible how tough those animals are.