What is the last time you traveled on an airplane? In flight wifi is pretty routine now, aircraft have lots of infrastructure to enable this. It would definitely be possible to adapt that hardware to connect to the satellite system launched by SpaceX instead, all it would take is a different antenna and radio system that the Sat operator would be happy to provide.
I thought you meant some kind of direct passenger connection. I think airplanes already use satellites for the internet connection, no? In any case , i dont see the huge benefit here: they will still all be sharing the same routers and probably have the same connection speed.