QTS compulsory with course starting so soon?Watch
However, I'd say it wouldn't hurt. You should be able to book in for the literacy and numeracy tests before a PGCE starts this year, especially if you are prepared to travel a little for them.
As far as I know, though, it is compulsory now for all PGCE entrants to have passed them before starting the course. I'm sure someone will soon be along to correct me if I am wrong.