"Are you going home already?" would be more likely....
True, will be default now.
You already at home?
Wouldn't that be "jesteś"?
"are you going at home already" is not possible?
It is indeed not possible. "at home" means that you are already in the home, and doesn't work with the verb "go". "At home" would be "w domu".
Could you translate this as "Are you walking home already?"
I suppose so. Added now.