At least not anytime soon. The studio has rather quietly dropped the non-anticipated sequel from its production schedule, according to Box Office Mojo. The only question is why Fox ever announced it wanted to make a sequel in the first place.
I mean, this year’s Fantastic Four movie was 1) bad and 2) a box office bomb, failing to even gross half as much money as either of the two movies in Fox’s previous FF franchise. It seems impossible that a sequel would do anything but lose a massive amount of money, and major Hollywood studios aren’t supposed to want to do that.
Fox could always reschedule Fantastic Four 2 later. But hopefully the studio executives have finally come to their senses, and this is the last we hear about the Fantastic Four–until Fox tries reboot #2 in 2018 or so.