I would say 'maybe' depending on the razor, and on the hand of the user. I frequently do one pass and call it good. Could it be better ? Well, yes no doubt. The thing is I don't try to get bbs with the one pass, just acceptable. If I were to try I'd run the definite risk of irritation I think. YMMV.
The Multiple Pass Shaving Technique - Straight Razor Place Library