Apologies, your comment got caught in the spam filter and I had no idea there were even posts there to approve!
Logan wasn't written to be any specific way or have any specific thing, more than anything else he's just... well, he's Logan. He has no in-canon diagnosis, though he is almost certainly on-spectrum himself. I'm sure there are readers out there more qualified than me to make a diagnosis on where exactly he falls, but whatever it might be, it's an organic aspect of his character and personality rather than a specific thing he was always designed to have.
Short version: Most likely yes, but he lacks any formal diagnosis.