For RNP approaches you can use LNAV/VNAV and it'll do a grand job, temperature permitting.
If the approach is to LNAV/VNAV minima, no cold temperature correction is required providing it isn't below the minimum approved temperature (this will be promulaged on the approach plate)
If the approach is to LNAV only minima you can use LNAV/VNAV but must temperature correct all altitudes below the temperature corrected MSA if OAT at aerodrome is 0 degrees C or less.
Of course operator must have approval, aircraft with GPS and both crew PBN endorsed on licence