In a normal OS under normal conditions, the certificate store is centrally managed by the OS vendor. The answer then is “yes”.

But it's possible to install a certificate of your own in which case the answer is probably “no” because when it expires you're going to have to to every one of those machines and install the replacement.

Or imagine an embedded computer that doesn't even have an OS. Then the certificate store just has whatever the developer put into it when they built the image. Again the answer is “no”. If you're lucky you can still rebuild the image and reflash the devices even though the engineer who did the work was fired as a cost–cutting measure. If you're not lucky then that VP’s cost–cutting has actually added a lot of cost.