No. You combine them under one application (for both your First Draw and Second Draw loans).
As a self-employed person with no employees, the easiest way to apply is by using the amount listed on line 31 of your Schedule C (Form 1040), which will reflect the combined revenue from each of your 1099-MISC sources of income.
A simple way to think about it is: no matter how many sources of 1099 income you have, you will only need to apply once for your First Draw PPP Loan, and once again for your Second Draw PPP Loan, both times using your Schedule C (Form 1040).