If you can only.
The only 3 requirements are:
1) to be 18 years old;
2) to apply before a Federal Judge;
3) marriage or the 2 years for the decision.
What about the requirement for showing gainful supporting income generated in Argentina/employment during the 2 years?
I've heard from reliable Argentinian sources that in practice you won't be granted citizenship by a BA judge without showing this as well. (With perhaps exceptions for those married to Argentinians or with children by them.)