Maybe it's a local thing? New York, perhaps? It's definitely not widespread. It'd be a really weird question in most of the country (of course you drive)
There are about 3-5 metro areas in the US where a substantial portion of the population doesn't drive day-to-day by choice (NYC, Chicago, Philadelphia, maybe DC and Boston). I have heard "Do you drive?" asked in those places. Everywhere else, it's "what do you drive?" and "what kind of car are you thinking about paying a bank to buy for you?".
