it would be near to impossible even if you had the vin number, but try to remember everything about it you can and write it all down, engine, color, transmission, console? and any other options you can think of and check everyone you come in contact with..there's a good chance it still in the same old neighborhood, so go to car shows and ask around...watch all trader magazines and online places like ebay and craigslist..
join groups like this one, it has a large membership and would be a big help in your search..
Here is one devoted to lost cars...
Here's one devoted to the early years..
Good luck with your search..