not impossible but looking too difficult because $2k mean more than double just in 5 months, the price of bitcoin already effected by the the previous scandal of bifinex, and still not recover to its previous position although the investor regain their confidence and they started buying bitcoin again and therefore the price of bitcoin are now recovering, hope that in very start of the next year the price of bitcoin will cross 1200$ very easily.
I think it is not possible for the bitcoin price to reach $2000 in January 2017. The price is still recovering from the hack.