A victory by the team seems 'within the realm of possibility'. [=a victory seems possible]
It's not 'beyond the realm of possibility' [=it's not impossible] that he will return.
new discoveries in the 'realm' of medicine
(..) bear witness to what I say... Joffrey Baratheon... is the one true heir to the Iron Throne... by the grace of all the gods, Lord of the Seven Kingdoms... and Protector of the Realm. As... As we sin... so do we suffer. This man has confessed his crimes... in sight of gods and men. (..)2011 TvShow: Game of Thrones Title: Baelor Season: 1 Episode 9
(..) is more use to her than a dead one. You want me to serve the woman who murdered my king, who butchered my men, who crippled my son? I want you to serve the realm! Tell the queen you will confess your vile treason, tell your son to lay down his sword and proclaim Joffrey as the true heir. (..)2011 TvShow: Game of Thrones Title: Baelor Season: 1 Episode 9