Not legally. You must check a box confirming you are a US citizen in order to register legally.
A total of 12 states plus the District of Columbia allow undocumented immigrants to obtain a driver's license. These 12 states include California, Colorado, Connecticut, Delaware, Hawaii, Illinois, Maryland, New Mexico, Nevada, Utah, Vermont and Washington. Notice that all of them went Dem.
I am just as concerned about the 15 million or so green card holders (Legal Permanent Residents) who have SSNs, drivers licenses, etc. The only thing they can't do is vote legally. However, we know that many of them are by claiming to be citizens on the registration forms. With a few exception, none of the states require proof of citizenship when registering to vote.
Talk about a slippery slope....