No, seriously -- as others have determined before me, The Rock fits quite well into the James Bond chronology if you also subscribe to the previously discussed theory that the Bond name is actually a code word like 007, which would explain why the character never ages and constantly changes appearance. That means John Mason had taken up the Bond title for Dr. No in 1962, a film that ends with him being taken in by the Coast Guard. He would then have been jailed in Alcatraz for that time and escaped before From Russia With Love and the subsequent adventures -- stopping briefly in America to get some strange (and father an estranged daughter, who we meet in The Rock).
"Related you shay? I best be going."
The only real inconsistency is the time in which Mason/Bond was in jail after his second capture, but I'm more than willing to accept that the 33 years the film claims was merely a clerical error fudged from the true 23 years he was incarcerated, which, coincidentally, would put his recapture smack dab at the moment James Bond suddenly turned into goddamn Roger Moore.
United Artists/Eon Productions
BOND: Hey Z, it's me, your favorite creeping-around guy, Joachim Boog!"
Q: *does 5 shots*