I have some memories like that. I don't feel longing or nostalgia though. I just feel it is a memory. Until I realize that stuff didn't happen in my lifetime. Maybe it is a deja vu thing. I have similar with dreams. I can dream something say last night and the dream puts itself back in time so I feel strongly I dreamt it several months ago, but thinking of it I know I did not.

But if it is not neurological I feel it might be someone else's memory. Or that souls are mixed before birth so you can get a fragment of what once was someone else's soul.