Upvote:2
Dagerrotype was publicly announced at a meeting of the Academy in 1839. Pushkin died in Sanct Peterburg in 1837. And Pushkin never traveled to Paris, or anywhere outside the Russian empire. So I suppose this cannot be a photo of Pushkin. Perhaps if you reveal the source of this image, it can be further investigated.
There are many possibilities: a) This is another person who looks similarly, If you carefully compare it with the painted portrait, the similarity is not 100% complete. b) This is a fake.
EDIT. Here is a link to a Russian source which explains that this is a fake:
http://masterok.livejournal.com/545959.html
For those who do not read Russian, I give a resume: "photography" existed also before the Daguerre's invention, but it required so long exposition, that no human could possibly sit still for such a long time. The person shown in the photo does not look exactly like Pushkin, as we know him from many portraits. No source in the Internet which displays this photo gives any convincing explanation of its origin. The author concludes that this is a modern photoshop, and displays a few similar photoshops.
EDIT2. To address the question in the comment: a daguerrotype of Gogol made in 1845 in Rome, existed, or perhaps still exists. I have a reproduction of it made not later than 1912, in the complete works of Gogol published in 1912. If you show me an Internet version I can tell whether it is the same daguerropype.