(To specify, it doesn't have to be specifically a crossbow, if you can think of another weapon that can fulfill the same job like a speargun or a harpoon, or even just a regular bow you're welcome to suggest them as well)
So, long story short, ice bullets are too lightweight to function, as various answers on this site and others have explained. But what about a bolt sculpted from ice? (or a spear or harpoon, see above)
Would a bolt sculpted from ice and fired from a modern crossbow be enough to kill a person?
Let's assume it's a highly trained assassin firing the weapon, so they can hit vulnerable parts of the body like the throat or jugular if need be.
EDIT 2: It just occurred to me that not everyone might be clear on why I'm looking for Ice-based Weaponry. It's the same reason behind the need for Ice Bullets. The reason is that these arrows will (theoretically) dissolve in the body of the target, leaving no way to determine that they were shot. I'm really sorry I didn't notice this earlier, although it looks like I caught it early enough that no one gave any answers that didn't answer my question.
Edited title because I didn't want people thinking the crossbow itself was made of ice