The answer is “yes.”
The Department of Transportation suspends alternate side parking (street cleaning) regulations and parking meter regulations on New Year’s Day, Wednesday, January 1. So if you have too much of a good time tonight and can’t get out of bed in the morning, there’s some relief for you.
Take note, though: all parking regulations are in effect on New Year’s Eve, Tuesday, December 31.
Check out the full NYC 2014 parking calendar.