Yes, its still possible, and I also wonder why NYC doesn't have a big nonpartisan primary, and then a top 2 runoff instead of a partisan general election like other cities do.
Bloomberg pushed for nonpartisan primaries, there was an attempt to revise the charter to allow it, but it didn't go anywhere. Neither party is really for it, since it would reduce a lot of their control, especially over judgeships. It's a good idea but it will never happen.
I could see Eric Adams winning in 2025 with a different ballot line if he lost the primary, honestly. But i think he'll probably win re-election.