No. Schedule 8 of the ANO articles 27,28,29,30 and 31 only allow the holder of a PPL (aeroplanes) not an NPPL to drop parachutists.
Parachute dropping is a sophisticated operation these days and most operate type rated aircraft which as Julian points out are not possible to fly on a NPPL.
You will also find that most operations want commercial pilots with Instrument ratings.