If there is an approved IFR RNAV overlay then most probably...but if there are any charted requirements [or Ops-Specs requirements] they supercede all of the above---some charts will have annotation to the effect of VOR or ADF or RADAR requiredif this is the case then you may not do such a substitution...
And in some areas of the world the procedure may not be permitted because the beacon does not meet WGS84 standards to allow compliance with an RNAV procedure--- the honest answer, as always, in aviation is that it depends...