Former FIDE presidents Campomanes and Ilyumzhinov had quite a few talks with IOC about inserting chess in the (summer) Olympics, but they could not reach an agreement.
I do not think that the current president Dvorkovich will do any better, mainly for political reasons.
Those of us who have played a live tournament with 5 games in one day know chess can be very physically exhausting as well as mentally exhausting.
I was a very successful high school chess team coach, but I've also been a head coach in high school recognized sports: cross country, track, and softball and I know the mentality of sports coaches. They do not see muscles being used enough in strength, agility, or control, even if they watch two tied-for-a-trophy players in a 5-min. blitz playoff move like lightning and bang the clock with the same hand as they run short on time.
Consequently, getting chess into the Olympics will be very hard.