And the A77 is on that list, so installing ACR 7.3 on your CS6 computer should put the profiles there.
If by camera profile you means lens profile, then there may or may not be a lens profile for the camera’s lenses, but you can also google for and look for the Adobe Lens Profile Downloader that finds third-party contributions of other lens profiles that Adobe hasn’t supplied. No guarantees, but worth a look.
I have ACR 7.3 on my CS6. But in ACR when I go to the Camera Calibration tab and click on the camera profile drop-down, the only thing that is there is Adobe Standard. No other selection is available. Isn't there supposed to be a list of cameras there?
Adobe Standard is the only camera profile available for your camera, then, if that’s all you see.
Adobe only makes the so-called “camera-match” profiles, with names like Camera Standard, Camera Portrait, Camera Faithful, etc, for Canon and Nikon and a select few others. I suspect there is a lot of work involved in these and they don’t do it for cameras they see as less popular or less used.
They wouldn’t be the same as the Camera-Match profiles from Adobe but you can create your own proilfes with an X-Rite 24-patch ColorChecker Classic and the Adobe DNG Profile Editor or using the X-Rite ColorChecker Passport package: