Certainty no doubt about it. It will even be a requirement to have it to work in the tourism industry so for the anti vax Pilots they will be in for a rude shock. Other vaccines are a requirement to work in certain industry this will be now different.
They can't make employees take the vaccine as that exposes employers to liability if something goes wrong. Also begs the question as to if you are a unicorn and the vaccine doesn't work for you what then?? Do you get fired if it doesn't work for you?
From what I have read so far on this what you are suggesting is legal minefield.