As it currently stands, unless I'm terribly stupid and have missed one way to do it after trying many, you cannot give items, put items or plant items on corpses.
I'd like to see this changed, because (and I promise I'm not a serial killer) I'd like the dramatic flair of leaving a message pinned to/on a corpse after ending someone's life, calling cards left on corpses, items planned on corpses to potentially frame them.
Support my idea to pin a note to a corpse with a push-pin!