Depends on the nature of the jailbreak, some of them are unpatchable if they attack the system early enough in the boot flow. Those are much less common than they used to be though, the Switch is obviously a notable example of a permanent jailbreak but it's been some time since Sony or Microsoft made a blunder like that.

OTOH who knows how much of the Portal was actually designed by Sony, since it's running Android rather than SIEs usual FreeBSD it might have been outsourced or derived from some generic ODM design.