If we look at the current price of Litecoin under $ 100 it is impossible to reach $ 1000 in a few years, from a technical point of view there are no indicators that indicate that it can reach that price. also from a fundamental point of view there is no news that can push that price. I am not pessimistic about Litecoin, only I am telling the truth of what I know. but it might be possible to reach $ 1000 if the price of bitcoin has reached $ 100,000.
From a technical point of view, I think that the only indicator that would lead towards a short term increase in price would be the adoption of Mimblewimble. If Litecoin adopts this privacy solution, then it'll distinguish itself from Bitcoin in every way. Still though, the main trigger of Litecoin's prices is Bitcoin's prominence within the crypto market. Whenever there's a bull market, you see that Bitcoin increases exponentially in price while other altcoins follow. One of those altcoins is Litecoin which follows very closely Bitcoin's movement across the crypto market. With enough demand (and each block halving event), we'll be able to see Litecoin get past $100 soon. After that, Litecoin may reach $500 until it gradually increases towards the $1000 range across the crypto market.
Despite this, one cannot hide the fact that these are just predictions. Anything could happen with Litecoin, as crypto is known to behave in strange and bizarre ways. As long as Bitcoin is valued over $100k per coin, then we could talk about Litecoin going towards "infinity and beyond". Considering that current prices are still below the $100 range, I believe that Litecoin is a bargain to acquire these days. Time will tell us what LTC's true value will be as more people join the crypto cause. Just my thoughts