Given the information from FM+ scenes (particularly the conversation between Vexen, Zexion, and Xigbar) and its relation to the FM+ extension of Sunset Horizons, I think it's pretty safe to say that the events depicted in the scene occur well before Kingdom Hearts. More specifically, it probably happened not long before Xehanort arrives at Radiant Garden and is taken in by Ansem the Wise.

So no.