Correct me if i'm wrong but if there is no published iap that would make that a vfr only airport. You would be unable to depart (or land) IFR (at least for 135/121), so there would'nt be a need for a departure procedure becuase you would always depart VFR. There may be an unnoficial ODP put out by local airport manager or something, but they cant make an official DP for a VFR only airport.