Doesn't look that way, anymore. I believe it used to be a perk under the previous program. It's a disappointment as we loved Cagney's for breakfast on Norwegian Jade, and it wasn't too crowded.
I also believe that Latitudes program status is based on the number of NCL cruises you've taken before the cruise you're currently on. In other words, the current cruise does not count toward the total until it's over.