Not to my knowladge. Finding Titanic was no small feat and there was better navigational documentation to go on then anybody looking for the Arctic could even dream of. (A lot of it which turned out to be mistaken.)
I believe they found a lot of surviving wood on the "Portland" a Paddle Wheeler that was lost in a gale! I could be mistaken though. It's been a couple of years since I saw a show about it on the History Channel!
So it's possible that there is remaining wood from the Arctic at that wreck site! In fact I believe there is a topic this site about somebody finding the Arctic that's only a couple of months old??