Chances of getting an upgrade by asking at checkin is probably zero.
If you have an economy cabin (inside) the only upgrade you are likely to get is maybe a higher floor. Cabin size and the view are the same. Any upgrade assigned by Carnival that you did not book is free of charge.
61 Carnival: Mardi Gras, Ecstasy X2, Fascination X6, Celebration, Elation X5, Glory X5, Fantasy X4, Valor, Holiday X3, Imagination, Liberty, Spirit X2, Freedom X3, Destiny X2, Splendor X2, Dream X2, Conquest, Legend X3, Victory, Sensation, Paradise, Inspiration, Magic X3, Triumph X2, Miracle X2, Breeze, Sunshine X3, Pride
7 Norwegian: Sky, Jewel, Dawn, Epic, Pearl, Breakaway, Getaway
8 Windjammer: S/V Legacy X3, S/V Polynesia, S/V Caledonia, S/V Diamant, S/V Sagitta X2