It may be possible, but this year it is difficult. If the price of bitcoin grows, maybe litecoin will reach 1k $. Next year seems more likely.
I do not think that LTC can achieve such a high price. Even despite the fact that many people expect a good growth, I don't see the reason for it. I am sure that there are a lot of more promising coins right now.
By look at the current price right now it can tell that your sayings is right since how could the Litecoin jump fastly for his new big ATH while we all know that the people always been tag to focus on other things and Litecoin is old not much been priority by the huge whales since they are not earning good profit since they cannot manipulate it.