"Secret service made an exception and let him drive himself!!!!" Naomi Biden wrote on Instagram.
The president tweeted Saturday: "Camp David is a special place. Cost of the event will be totally paid for by me!"
Acting White House Chief of Staff Mick Mulvaney said last Thursday that Camp David would be a "miserable" location for the international summit.
Trump said he had been ready to meet Taliban leaders on Sunday but cancelled the visit following the death of a U.S. soldier in Afghanistan last week.
The hashtag was trending on Twitter after a secret peace talks meeting with the Taliban was canceled by Trump.
A Taliban spokesperson criticized Trump's decision to cancel a planned meeting with the group's representatives that was scheduled for this weekend.
Illinois Rep. Adam Kinzinger and Florida Rep. Michael Waltz both had tough words for the commander in chief after he invited Taliban leaders to Camp David.
Trump suggested on Saturday that the photo of him and his latest accuser means nothing, telling reporters "give me a break."
The White House legal team reportedly torpedoed the meeting after hearing the planned scope of the interview.
"She is not going. She's doing great," Melania Trump's said spokeswoman Stephanie Grisham of the presidential retreat over the weekend.
The Department of Justice said on Friday that President Donald Trump did not invite his maligned attorney general to a legislative discussion group at Camp David this weekend.
The Camp David summit is just the start in a long process needed to calm a troubled region.
At a high-stakes meeting at Camp David this week, the president will meet with leaders of the Gulf Arab states.
On Friday night, a man scaled the White House fence and made it through the North Portico doors before being arrested