Cloning Keeloq remote keyless entry system
Maybe, if you recognize the chip, you can extract the code. But there might likely be another issue that is difficult to overcome. 

A bona fide 2nd "remote" would be recognized by the system and be seen as having its own address (and sequencing) by the receiver. This is because it would be impossible to keep two identical remotes in sequence - the new one would soon be out of sync with the original remote and this would screw up things entirely. The new 2nd remote would be dealt with differently than the original remote normally.

This is the same problem in cloning a 2nd remote.

Hey, you can afford two cars, pay for it LOL (yeah I know it's fun)