:lol: Of course not. Every month or so (depending on how business is doing and how many cars they get from the weekly auctions) they have a "crush day"; the oldest or most picked over cars get stuffed in a crusher, flattened, sometimes shredded, and sent to a foundry where they are melted down and recycled into new metal ingots.
A car will typically only sit for between two and six months before it gets crunched and sent off to be made into beer cans, guns, new BMWs or whatever.
In the meantime, lots of parts have been stripped off and put onto other cars to keep them going. It's quite an ecologically sound method of disposing of dead cars - as well as quite lucrative.
Specialty yards may keep some cars around longer - there is one yard completely devoted to Nissan Z cars here, for example. It only gets one or two cars every month, and they only crush about once a year.
And, as Dogbert mentions, you never know when someone is going to need that obscure part - and will be willing to pay for that chunk of unobtanium that you happen to have.