Is my Saturn supposed to run, shift, even drive without the key in the ignition? on 2000 Saturn SL1

The car runs without the key in the ignition. I discovered that by accident when I was in a hurry one day. I didn't realize it would drive like that, until I drove somewhere one day, and when I went to shut the car off and take the key out, the key was already out. I had put it in the console and forgot to put it in the ignition when I started driving.

Asked by for the 2000 Saturn SL1
No !
Thanks. Guess I'll contact a Saturn Dealer.
Some GM dealers can do it.
I forgot..there aren't any Saturn dealers anymore. Thanks!
I do the Saturn work here in the town I live in. The dealer sends them to us. Just check with your GM dealer. Good Luck
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That could be a serious problem , if you have children!
Thanks to you, also. I'm not sure where a dealer is, but I'll find one.