Yes, because movies and anime based off video games are always so wonderful...
But seriously, 1000 petitions tells Square one thing; not enough people are interested. Seriously, they'd need petitions from several hundred thousand individuals before even bringing the idea before a committee that would debate if the concept should be considered in committee.
Not that it isn't possible, but if anything a petition is thinking too small, rather than too big. If fans can get a canceled TV show, with less than a season under its belt, to be made into a major motion picture (ala Firefly/Serenity), Chrono fans could get square to make a new game, a remake, an anime (but do we really hate the series that much?), a movie, whatever. The problem is lack of numbers.