Possible, but improbable, since some attributions (approximately) agree across independent sources like Plato, Xenophon, Aristophanes, etc...
Socrates pupils listened and discussed his ideas with him directly and very in-depth.
Instead of him writing down statements to be misinterpreted, he instilled his philosophy into many people through direct conversation.
By talking with the person directly you're able to understand that reasoning much better vs interpretation.