Yes, you can print 1099 and 1096 forms with ezW2 software  without EIN. When you set up company account for this payer, you should leave company EIN field blank and enter the SSN for SSN field. So when you generate and print Form 1099 and 1096, you will see SSN there.

IRS 1096 instructions
http://www.irs.gov/pub/irs-pdf/f1096.pdf 

Box 1 or 2. Make an entry in either box 1 or 2; not both. Individuals not in a trade or business must enter their social security number (SSN) in box 2; sole proprietors and all others must enter their employer identification number (EIN) in box 1. However, sole proprietors who do not have an EIN must enter their SSN in box 2. Use the same EIN or SSN on Form 1096 that you use on Forms 1097, 1098, 1099, 3921, 3922, 5498, or W-2G.


Let us know if you still have any questions.

Thanks,

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I need to set up a contractor/payer who does not have EIN, he uses his Social Security Number to pay.

Lou