In current version of the game no. If at some point in future it depends on how faithful creator is to cosmic horror and to the actual concept of what eldritch usually are. If he's not faithful all bets are off. If he is. In short there can never be true victory against them taking their puppet away from them would be a victory but remember there can be no true victory against them only outcomes that are possible are delay and a draw. Given those two options some kind of exchange is probably needed direct or indirect where eldritch is probably going to come on top but maybe with some luck scientist lady may be set free with high cost.