No. That is a really bad idea. Th bank is highly likely to refuse the deposit and send it back to the issuer, and then a check has to be issued to mail to the address on your tax return. That can delay your refund for weeks or even longer.
https://ttlc.intuit.com/questions/1901159-can-i-deposit-my-tax-refund-into-someone-else-s-account
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