No. In order to claim anyone on your return, they at minimum have to have an ITIN.
Also, who is supporting her? Do you pay over half of her support? If so, it is possible that if she had an ITIN you would be able to claim her for the $500 Non-Refundable Other Dependent Credit
Claiming Non Citizen Spouse and Children on Your Taxes
How to obtain an ITIN
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