Maybe. But in the latest Cra1g Wr1ght drama, he claimed to the court that some early addresses people thought might have been Satoshi's belonged to him. A message surfaced afterwards which was signed with those addresses calling Cra1g a liar.
I think it's more correctly stated that it's not public knowledge if they were mined by Satoshi or not. One can say they were not part of the "Satoshi miner pattern" that was identified years ago, but we don't know exactly how many of the blocks mined outside that pattern were or were not Satoshi's. Hence my "might".
Why would Craig (falsely) claim to own not-Satoshi addresses, instead of claiming Satoshi addresses that are less likely to be used (due to exposure risk)?
And I'm confident that there's people dedicating a lot of processing power to try and determine its private keys (and anyone else's private keys if they happen to stumble across it).
I'm sure it's one of those tasks that'll cost a lot more than all the available energy in the universe kinda scale though.