As gorgeous as that is, and I'd love one, I'd hestitate to call it a peacoat, for the following "traditional" reasons, being the bit of the clothing definitions purist that I am.
1. It is grey rather than navy or black
2. It has 8 rather than 6 buttons
3. Its pockets, while correctly vertical are too high and are zipped
4. The cuff adjusters (peacoats traditionally don't have cuff adjusters)
Otherwise, yes, a beautiful peacoat