"We will announce the sixth crew member in the coming days."
The King of Staten Island star was set to follow in the footsteps of Hollywood legend William Shatner and former NFL star Michael Strahan, who separately made the trip last year.
A previous announcement read: "#NewShepard mission #NS20 will include Marty Allen, @NBCSNL's Pete Davidson, @SharonHagle, Marc Hagle, @JimKitchen, and @DrGeorgeNield. Liftoff on March 23 is targeted for 8:30 am CDT / 13:30 UTC from Launch Site One."
The 28-year-old stand-up and billionaire businessman Bezos - who founded Amazon in the 90s - were recently reported to have held "preliminary" talks about heading off into outer space together.
A source told E! News: "They've been in discussions, several. Nothing is official yet and no date locked in. It's very preliminary."
Davidson and Kardashian, 41, visited Bezos' mansion in January. Though it wasn't entirely clear what they discussed during their meeting.
However, it was later speculated that a trip into space was on the cards.
Another source said: "He got on really well with Jeff when they met."
The Dirt star pulling out of the Blue Origin flight comes after Kanye West was suspended from Instagram after threatening Davidson and issuing a racist attack on comedian Trevor Noah.
The rapper was banned from using the photo-sharing platform for 24 hours.
A Meta spokesperson told TMZ that the 44-year-old star would not be allowed to post, comment, or send direct messages - and more - on the app.
They explained they will take further action if it becomes necessary.
West - who has North, 8, Saint, 6, Chicago, 4, and Psalm, 2, with ex Kim - has made a number of disparaging remarks about Davidson on the social media platform.