Using the 100 km Karman line as the barrier. The current record is 19, set in 2021
https://en.wikipedia.org/wiki/List_of_spaceflight_records#Human_spaceflight_firsts
This would not count any flights by Virgin Galactic as they do not go up to 100km.
There are currently 10 people in space as of April 12, 2024 (check the current number at https://whoisinspace.com/) and there is a scheduled Blue Origin space tourism flight, but that would only bring us to 16. To set a new record, we will probably need a confluence of an ISS or Tiangong crew change happening at the same time as a space tourism flight.
If Wikipedia records a new record for number of people in space (100km), this resolves to YES.
1,000
3.00today and for the next couple days there will be 14 people in space. But the Fram2 mission will end before the scheduled launch of Soyuz MS-27. Once that launches, that should bring us to 13 people in space, and if the New Shepherd launch on April 14 is on time, we should tie the record with 19 people in space.
Not sure how long the Soyuz is planning to stay with 2 crews aboard the ISS, but there is also scheduled to be a crew change with Tiangong in May. If the Soyuz still hasn't returned, there is also a 4 person Dragon mission (not to the ISS) set to launch in May, and that would bring us to 20. My guess is that the Soyuz crew change won't take that long though.
@wilsonkime MS26 planned return date is April 20 but of course that could be delayed particularly if April 8 planned launch of MS27 is delayed.
Ax-4 (NET May 2025) is Axiom Space's fourth private crew rotation and is to the International Space Station. It would be very surprising if this was while MS26/27 changeover was ongoing.
Ax-4 at same time as Tiangong changeover in May would only take us to 17 I think.
I think that leave two slim possibilities:
1. New Shepherd NS-31 launch 14 April is fairly substantially delayed to overlap with Ax-4 NET May
2. New Shepherd NS-31 launch 14 April occurs with little delay and a new mission NS-32? is fairly rapidly organised. Gaps between NS launches still vary quite a bit. Also there has to co-incident timing with Ax-4. Same time as Tiangong changeover only gets to tie at 19 unless also at same time as Ax-4.
Perhaps worth noting:
https://www.space.com/human-spaceflight-record-20-people-in-space-2024
says record is 20 as of Jan. 26 2024 but this includes 6 on Virgin Galactic which don't count and it is also before this claim was created.
Outside of changeovers we would normally have
ISS via Dragon 4
ISS via Soyuz 3
China Tiangong space station 3
which is only 10, so 6 on New Shepherd only gets to 16.
If 6 on New Shepherd during Soyuz or CSS changover that only ties at 19.
If 6 on New Shepherd during normal dragon changeover that gets to 20.
New Shepherd during ISS and China space station changeovers would also do it but seems unlikely - next China Tiangong Space Station planned for ~Oct 25 while dragon planned for 25 Sept and Feb 2025.