I don't think so, it is simply a mental recreation of something that happened, but it is not a piece of the past, far from it.

Our mind creates an image of the present at some point, and then that image is maintained through time, to the point where that image is not of the present but of the past. However, he has no contact with the past because the past no longer exists, only that image exists. Exactly the same as taking a photo. But the photo has no contact with the past, it is just a piece of paper with some colors.