As to if this car can have a remote fob I do not know, if it was me I would take the VIN to a main dealer and see if they can look it up.
As for buying genuine Nissan keys and fobs I have done both off ebay. I bought my key without the transponder though I could have had one with it, brand new and uncut. I believe that programming them has to be done by a specialist or main agent, the remote fob can be done easily yourself.
Hope this helps.