Quite possibly so. Backstage sources speak of "air trams", but these don't seem like public transportation to me. More like company minibuses, or even private limos.
It would be interesting to know how much one saves by omitting spaceflight capabilities from a flying vehicle in the 23rd century, or how much one has to pay extra to make a vehicle fly... If it isn't trivially easy for an aircraft from the era to reach space, then dedicated "hoppers" or "flitters" would certainly make sense here.