No, this HF has nothing to do with the POS. There is no certain date for ETH 2.0, just rumors that it will start in Jan 2020. It is not clear whether a full POS will be introduced, or mixed POS/POW at first for better security. Full POS may happen still in Q1 2020 if there are no bugs.
An update of this huge caliber should be announced more than 2 months earlier, so I'm sure it won't happen on January... it's too soon and there's no official announcement.
Now that I think about it, I've been hearing about Ethereum's POS for about 2 years now!
We are going parallel, PoS and PoW at the same time.
There is no exact date for the launch of the Beacon chain until now. Last time it was scheduled this year but it was delayed,
But I am sure it will not later than 2020.
Just keep watching this blog to get the latest information about ETH 2.0:
https://blog.ethereum.org/