It depends on your authority's clearance, and you should require FMGC1A or FMGC2 with the latest MMR standard. As the difference between RNAV and RNP is that RNAV is radar monitored and RNP is self monitoring, you need to be in GPS Primary. So Yes.
However, you shouldn't be doing RNP without authorisation - they are AR (Authorisation required) procedures and you should at least have them explained in your Ops Manual.