The Second District Court of Appeal has joined the Third, Fourth, and Fifth district courts of appeal in allowing parties to file stipulated enlargements of time. Administrative Order 2013-1 [.pdf] allows parties to agree without court order to up to 90 days’ worth of extra time to submit initial or answer briefs, and up to 60 days of extra time for reply briefs. The Second’s timing is thus in line with that of the Fifth District, while the Third and Fourth allow parties to agree to up to 120 days extra time without leave of court.
That leaves only the First DCA without an standing order allowing stipulated enlargements. For the time being, you still need to file a motion in the First.