o hai...i haz question
 

how do u say "can i have a cheeseburger?" in japaenese?

チーズバーガーひとつください。

I'm afraid the joke probably wouldn't translate.

ロルカートすきですか？

One cheeseburger, please.

私はチーズバーガーを持つことができます - can i have a cheeseburger

so which ever one you prefer .

I'm afraid that it's not what one prefers but that is totally wrong!
It says: I am able to hold a cheeseburger

Therefore, either your Japanese really sucks or that you feign helping others by relying on an online translator. Sorry mate.

I would still go for what MMM has provided.
Or, simply says チーズバーガーをください。

my Japanese really sucks....lol

"I can hold a cheeseburger." is what is says.

so apparently ur not all that great at it urself enya ;)

and MMM whats the translation for have???

MMM's translation works best. You can't really distinguish "have" and "has" and still make a clear sentence. The joke just doesn't translate.

Mikado, to have would be ある。 Can't make the joke with that either. Closest would be　チーズバーガーをあるできるか. Which just sounds stupid xD