The only way this could ever happen is if that Parselmouth, (Tom Riddle, in this case) wasn't completely alive.
Here's why: After Harry had already entered in the Chamber of Secrets attempting to save Ginny, Tom tried to kill him by having summoned the Basilisk out of Salazar Slytherin's mouth, yet he looked straight into those murderous eyes before it attacked Harry, and he survived that because he was only a 'memory, only because he came out of his dairydiary, which was his first-ever Horcrux.
However, if Tom tried to do that when he was a student at Hogwarts, that would've immediately killed him.