No

Low aux fan has ONE function..to add additional airflow across the a/c condenser when the high pressure switch senses that there is a HIGH THERMAL LOAD on the a/c system and it is being TAXED.....that circuit is a simple 12 volt/ relay circuit with only one controlling sensor ..
That sensor is the one I mention in the Low Fan jumper Test.

If the low fan does not come on and the a/c is experiencing a high thermal load , [ which happens in slow traffic or stop/idle conditions because of low airflow with a stopped/slow moving car] , then the radiator gets heated from the passive heat radiation of the a/c condenser ...simple. The results ..you over-heat the coolant system. And the most often over-looked cause of such a condition is the a/c system is just a little low on refrigerant...allowing for a/c operation, but not good enough to trigger the low fan switch that I have you jumper.
So test that first, before you do all the other things you are going to be told are bad....

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A Dalton