But it already does. That's it's job. That's what advertising is for. I suppose "control" is a tad strong, but that's the dream of every advertiser - to deliver a message to exactly right person at the exactly right time so that they take a desired action (buy, vote, post, etc).
Whenever this debate comes up I can't help but wonder what a non-commercial (non-profit?) version of Facebook would look like. I'm sure people would still post stuff for likes, but would it still be a career path for "influencers" where they use their popularity to push products of dubious value with little disclosure? Would there be an "algorithmic feed" whose contents you have little control over? Would posts by your friends be drowned out by "high engagement content"?
Advertising fundamentally alters the medium that carries it. It happened with cable TV (remember cliffhangers before commercial breaks?), and it has happened to the internet. Let's not pretend Facebook's shitty products are somehow the natural state of things. Better social media ("prestige" social media?) might be possible.