As an Argentinian citizen, can I attempt to look for a job in Germany while touring?

As an Argentinian, you may stay in Germany (and anywhere else in Schengen) for a period of up to 90 days for pleasure or business. This means that, legally speaking, you're welcome to look for a job while you're there, as long as you do not actually work at a job without getting the appropriate visa.

In practice, though, when entering Germany, you'll want to have a return ticket back and state your purpose as tourism, because Immigration officers will usually assume that anybody who's looking for work on a tourist visa is also going to illegally work on that tourist visa.

See also this question about looking for work in the US, which is obviously a different country, but otherwise covers the same situation.

EDIT:

Ok, you are according to the comments only trying to look out for a job in Germany, not attempting to work during your stay. Ok, that is entirely possible as long as you make it clear that you need to get a "Aufenthaltstitel" (working permission).

I have modified my original comment because it contains unneeded info. So this is the current state of trying to work in Germany (2013):

1. If you are a citizen from a EU member (some had time restrictions), you are lucky: You can work and live in the EU wherever you like.

2. If you are from the rest of the world: Do you have something which needs special knowledge or do you have a special status ? In the "Beschäftigungsverordnung" (BeschV) these ones are listed. The first categories are scientists, journalists or luminaries (musicians, artists etc.). The second ones are Au-Pair or students which only get a limited allowance.

3. You have the "Blaue Karte" (blue card) which allows you to work in the EU. This is equivalent to the green card for specialists in the USA, but rare and under heavy criticism.

4. You have found an employer who wants to get you. Now the employer must go to the "Ausländerbehörde" (Agency for Foreigners) and tell them: "I want this man/woman". The agency asks him what are the working conditions, the payment etc. and gives their OK only if the foreigner gets at least a good payment (no dumping). After that the employer gets a letter from the "Arbeitsagentur" (employment agency) which need a "Vermittlungsauftrag" from the employer. Now the employer gets six weeks long people which are currently unemployed and the employer must convincly tell the employment agency that they are all not feasible. Then, and only then, the foreigner gets a limited working permit.

Whew, Germans.

P.S.: As I already said, do not attempt to work illegally.