YES YES YES!!!!!
You MUST have your 5hrs Night Qualification training BEFORE you commence either CPL or IR skills course, including your 5 solo full stop landings.
LASORS is a bit difficult to read on this, but the CAA want to see the completion of Night training in your log book before any CPL or IR training flights.
I got all the way to CPL and IR tests before getting mine done (my very last flight before licence application was the solo night circuits) and they held up my licence issue while they obtained letters of explanation from every FTO I had been with as to why they had proceeded with CPL and IR training before NQ work was complete.
Do the NQ work first!!
I recommend Atlantic Flight Training in Coventry for this. Prices are reasonable, Alan Mildred is a lovely instructor, and CVT allows night training up to Midnight. Much more practical that other places where they close early.