There will be a lot of positions open, but they might not be at good programs. This is especially true for NY. Most popular programs will already be full.
Once the match results come out in January, you then contact the unfilled programs individually and see what you have to do to get in. It's quite informal and handled differently by each program.
It's not too late to apply for programs now and it would give you a much better chance of getting into a program you actually want to attend. You're taking a pretty big chance if you wait until after match.