Retirement tax questions

Thank you. I am still trying to get an answer to my question:

Can I subcontract all the work I am getting  1099 for to my S-corp?  Basically, move every payment I am getting monthly - and for which I will get the 1099 next year - to my S-corp business account. Then my 1099 profit - and therefore tax - will be zero. 
I don't need an advise to make my client pay to my S-corp or issue 1099 to my S-corp: this is not an option. They are using an intermediary who only deals with individuals. So, I will get a 1099 to my name. But I don't want to pay Social Security tax from the whole amount. I want to limit it to the salary I am paying to myself within my S-corp.

Seems like it should be a pretty common situation: home contractors get personal 1099 all the time when they do jobs worth > $600.
Thanks!