Maybe, but I don't think so. At one of the interviews I had in mid-November, the PD straight up said the amount of applications they'd received was nearly double the volume they typically receive, and she was hoping to have a first pass of all of the applications finished by the end of the first week of December. It came up because I specifically thanked her for responding to my LOI, and she said she would have likely gotten around to me anyway since I'm local, but the LOI got my application yanked out of the pile a little earlier.
I know that's pretty specific, but there is at least one program that hasn't even finished an initial review of applicants yet. I very seriously doubt they're the only program in that position. As long as there are places that haven't finished a first pass of the applicant pool, there are always hopes for more invites imo.