No, in fact it is illegal to discriminate against an individual upon these grounds. As an employer you are required to accept any document an employee presents from the lists of acceptable documents, as long as the document reasonably appears to be genuine and to relate to the employee. Furthermore as an employer, you may not
demand that an employee show specific documents
Ask to see employment authorization documents before an individual accepts a job offer
Refuse to accept a document, or refuse to hire an individual because a document will expire in the future
Refuse to accept a receipt that is acceptable for Form I-9 purposes
Demand a specific document when re-verifying that an employee is authorized to work
However, it is important to note that employers are required to reject paperwork that does not reasonably appear to be genuine or that does not relate to the individual presenting them.