After Rocketship X-M (1950), this is Lloyd Bridges' second film featuring a manned mission to the Moon.
Even if the kid survived to the point of liftoff, he would have been dead upon entry into Earth Orbit. Apollo used a low pressure, pure oxygen atmosphere to save weight, and cabin pressure dropped from 16.7 psi to 5.8 psi in less than 2 minutes after launch. To avoid getting the bends, the astronauts had to breathe pure oxygen for about 3 hours prior to launch. This is why they walked to the spacecraft already sealed in their spacesuits. To reduce flammability, the cabin was pressurized with a 60/40 mixture of oxygen and nitrogen, which would not have adequately prepared the kid for the pressure drop.