Sign Quest Fail/Lucifer's Lament

[Vile]

So I recently completed the sign quest and received Lucifer's Lament. I was unaware that you could craft arrows out of it, and while mass crafting I... accidentally hit Lucifer's Lament. Yes, I do know it was an incredibly stupid mistake.

I highly doubt it, but is there any possible way to get said item back without having to spend another three days doing the quest again?