Actually most likely we'll know by next week if its possible!
Also FYI, it'll take about an hour to go from NYU to columbia and then you have to factor in 'getting lost' time.
It seems semi improbable to me.
Also, advice from pre-dent to pre-dent. I think your nerves could use a day break after an interview. I would personally schedule it the day after or the day before. Saving on a day of hotel costs is not worth a botched interview.
You worked hard for the interview so give it your best when you're at it.