Yes you can, and it means the same thing.

because A song of ice and fire = A tűz és jég dala. You're welcome:D

Also you have to be able to ask for ice to your coctail (or ask to leave it out) ;)

I read somewhere else in the course that trying to make the Hungarian language fit in a format thought for Indo-European languages was very difficult, because Hungarian is very alien to this family. I understand your frustration and share it to a certain extent, but I try to have a positive attitude (which comes with no effort, since Hungarian is a language I want to learn out of real and pure interest) and tell myself that's just the way the language is. (Sorry for the run-off sentences ^^' .)

Yes, indeed, many sentences are so unuseful.

Your sentence is "Van otthon jegünk?"

Like gizella said there is no possession of the ice in the sentence. Either could be understood similarly, but the translation isn't exact.

That clears my confusion up nicely guys, thanks.

What do you find strange here? For me (a native Hungarian ) it seems completely natural. From English version I miss an "any" but it may be omitted to more precisely represent the Hungarian structure. DL is full of such specialities--French course loves to omit definite articles, for example :)