Hell no.
What problem? Fake news makes money for Facebook, drives view counts, and helped get their favorite candidate get elected into the White House!
Peter Thiel is on the board of Facebook. If you recall he spoke at Trump’s Convention. He didn’t just speak, they gave him a prime-time slot.
Will Facebook fix their ‘Fake News’ probem? I don’t think they see it as a problem.
There’s no incentive for them to fix it and only disincentives to fix it.