I think people are focusing on calibration tracking and the "permission" facets of your question. You probably need calibration tracking even if you are not doing the calibration to determine if your devices are due or not, in use, etc. As far as permission, you can do whatever you want. But, if you want your efforts to be accepted by your customers, you need to meet their requirements - such as TS 16949 internal laboratory requirements or ISO17025 . You may need to add your calibration capabilities to either one of those certification scopes.
But, really, you can't just start calibrating things. You really need to have properly trained technicians, procedures, records, standards, etc. Your software typically provides a spot to put your procedures, which is handy. But, you need to have some bona fide training records for your calibration personnel. Otherwise, as a customer I would no likely accept your in-house calibrations. There are a lot of folks claiming to be doing "calibration" in-house, but their techniques are so backyard that I would be hard pressed to even call their work "verification".
I doubt if things have changed that much over the years. I believe the easiest thing - still - to find nonconformances on is a calibration system.