The PC version did not, the Amiga and ST versions did. Maybe you played it on one of the latter platforms?
To be more specific: the AGI interpreter implementations for Amiga and ST supported mouse, the PC version did not for some reason. I think it was never a question of the game itself. So I guess you mean AGI release when you say EGA (as opposed the SCI VGA).
P.S. I am somewhat curious why you "have" to know - sounds urgent