Well, nothing is impossible. If some people wakeup and decide to pump it, it might get to that price and even higher. But Litecoin has been a coin with steady growth, no significant pump and dump. I think it will so well in 2018, but I can't say if it will get to $1000 by Dec.
Fingers crossed, I think it probably will. When? Who knows but like someone has already said here its a slow burner unlike other coins, give it time.