That is possible.
Minya was never a threat in any Godzilla movie except Destroy All Monsters when he was teamed up with his Daddyzilla. He always had a connection to children. Thing is, nobody ever addressed how he came into existence. Nobody really knows for sure if Godzilla is a male or a female (it was never defined) or even a hermaphrodite capable of laying his own eggs. And he never grows up. The other children-oriented kaiju was Gamera, and somewhat also was Mothra. I never watched anything with Godzuki in it, probably because they are cartoons?