The low-tech version of that already exists - a lot of big cities offer P+R, that is, you park your car outside of the city and get cheap public transit the rest of the way.
Still only feasible if you're okay spending an extra half an hour traveling and your destination is hard to reach / expensive park at though. If that's automated it'd be neat. I mean it already sorta is if you have a good bus network, but those generally aren't door-to-door. There's also taxis, that is, if you're rich enough you can afford to take a taxi to work every day. Might even be the gig economy / uber becomes cheap enough to make it compete with public transit.
Still only feasible if you're okay spending an extra half an hour traveling and your destination is hard to reach / expensive park at though. If that's automated it'd be neat. I mean it already sorta is if you have a good bus network, but those generally aren't door-to-door. There's also taxis, that is, if you're rich enough you can afford to take a taxi to work every day. Might even be the gig economy / uber becomes cheap enough to make it compete with public transit.