I have been through all the videos purporting to show Shatner in Space.
Pressing nose to window? Check.
Being moved by the vulnerability of life? Check.
Experiencing weightlessness? Not so much.
He does not float. (Also, therefore, he is not a witch.)
I mean, I know he's ninety and not as agile and lightweight as the other passengers, but I'd think one of the young folks could have stopped doing backflips to spot Captain Kirk, maybe. Pass him around over their heads maybe.