I doubt PoS will overtake PoW as in making it vanish but if you mean taking control of a bigger marketshare it is still impossible because of bitcoin. Bitcoin will probably always stay as a PoW coin because it would require too many things to go perfectly for it to work and as we all know from what happened in segwit times it actually can go all bad instead of all perfect.

Hence, we can see a clear trend of all altcoins to switch to PoS soon but we won't see bitcoin going that way. Also lets not forget the fact that even tough PoW requires more work and energy and capital to be able to mine it is still by far the fastest and easiest transaction system, PoS is a slower and smaller version of it which means the huge coins we have can't afford to do it easily.