Probably not... even physicians may not be trained on them. The only thing that comes remotely close would be a Blood Gas Test, but the gasses that tests for is O2, CO2 and HCO3. The only exception is the testing of newborns with congenital metabolic diseases, but that would seem to be a rather narrow field of specialization.
Turns out I kinda got the name wrong... the machine and test(ing) I was thinking of is Gas chromatography–mass spectrometry. If you go to the link you'll see the different variations of machines and what they are used for. You are probably right, there are likely others in LA. The most likely place would be LAPD's CSI laboratory or even the airport. Another possibility is given the level of environmental consciousness that California seems to have, an air quality laboratory would also have one.
I would need a California native to weigh in on this idea; but one other option that presents itself is that given how strict the state is with governing and regulating vehicle emissions... I assume vehicle testing stations are relatively common. It might be possible to put a sample of the gas through an emissions testing machine. Surely it would not be as comprehensive, but it might be better than nothing.
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