Yes, 'carry-out' is similar to 'take-out' for food. Usage can vary by region. I believe that in BrE, 'take-away' is commonly used. Perhaps someone British will confirm this.
You can actually carry something (a bag etc...) out of a room, for instance. I'm not familiar to this being used in relationship to food, I would rather expect "carry away", as in "take away". But you can carry the dishes out of the kitchen and into the dining-room, or carry them outside, to the garden. The other native mods will correct me.