Like, say I have an interview in your office and you step out for coffee. I take a picture of the applicant list on your desk. That doesn't make the list of applicants "my data".
If the list is sitting there out in the open, then yes, it does make it your data.
The legal system thrives on specifics of a situation, so simply asserting that the list of applicants is or is not "yours" because you can see it seems like a gross oversimplification. The specifics of how you came to be there, what your relationship with the officeholder is, and so on probably matters a lot in that situation and I think there might be some unwritten rules or social norms that you'd be expected to follow as well.
What you own is the image copyright. But the right to copy is only one of the rights at issue.
Under various state laws (California in particular), you might not be entitled to do all the things with that picture that you could do of one that doesn't have my likeness. Privacy laws like the CCPA are one possible carve-out. A "right of publicity" is another.
There's an old saying about property law that "property is a bundle of sticks". The bundle can be subdivided.