Oh, I see where you're going with this now. I really didn't know the end goal at first, but now I do.
I have to say I'm quite intrigued but such an unusual request, however, your answer is no (as far as I can tell).
To illustrate the answer I created a .jpg for one of my current projects and then looked at the metadata (aka the EXIF data) the normal way most people would view it. If someone was looking at the Exif data for an image from an email or a flash drive right clicking on the file then going to
Properties--->Details is how they would pull up the info on a windows device.
There are different ways to view the data on a Mac and there are other freeware programs to view Exif data, but they will all tell you the same thing as the details tab.
Note none of the Photoshop alterations were listed in the metadata for these screen captures:
The jpegs were taken from one of my projects which was modified with a lot of layers, styles, etc. Then I decided to look at the Exif data once again, this time with Photoshop:
Photoshop gives you more options and you can pull the raw data from the image, but it's all an XMP. A person would need Photoshop, or some image manipulation software, just to be able to pull up the XMP raw data and unless you're worried about them being a script kiddie who can read and translate XMP then you're in the clear.
I didn't bother to try to translate the XMP, but just by looking at it Photoshop doesn't insert any manipulations into the Exif data as far as I can tell and wouldn't make sense if it did. It would be unnecessary junk space inside the image (my PSD files tend to be 25MB or larger) which would make the file size larger for the jpeg output format and you wouldn't get good compression when saving it.
Of course any graphic designer, photographer, or anyone with a trained eye can spot most manipulations for a doctored photo. So there is that.