No.
The reason why is, the astronaut and the spaceship are traveling at the same speed.
The astronaut would have to careful though! Because, if the astronaut pushed away slightly from the spaceship as the astronaut stepped out, the astronaut would drift away from the spaceship and would continue to drift across space forever, provided the astronaut didn't bump into anything out there or get sucked in by the gravity field of a planet or a star.
That's why when they do an EAV (Extravehicular Activity) they have to either be tethered to the spacecraft or have a MMU (Manned Maneuvering Unit). The MMU is kinda like a jet pack of sorts, it lets the astronaut fly around the spaceship with compressed jets of air.
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No, astronauts are trained to secure themselves with tethers and tools to prevent being left behind when stepping out of the spaceship. This is to ensure their safety and to prevent any accidents or getting adrift in space.
Neil Armstrong was left-handed.
Yes, the Apollo 15 mission left behind a Lunar Module Falcon ascent stage, the Lunar Roving Vehicle (Moon buggy), and a Fallen Astronaut statuette as a memorial to deceased astronauts.
Mae Jemison retired from NASA in 1993. She left the astronaut corps to pursue other interests, including her work in education and technology.
Micheal Collins was left behind on Apollo 11.
he left the book behind diary of a wimpy kid !