No.
According to the National Immigration Law Center:
“Once you receive a
Social Security number (SSN) from the Social Security Administration, you must
use your SSN for tax-filing purposes and discontinue use of an Individual
Taxpayer Identification Number (ITIN) if you had previously been issued one. If your work authorization is rescinded,
your SSN remains valid for tax purposes, so you should continue to use your SSN
for that purpose.
Note that this applies
only to a valid SSN that has been
assigned to you. You are required to file all your taxes under that single SSN
going forward. It is important not to present false information on tax
forms—such as filing the return with an SSN that was not assigned to you—since
this could affect your immigration case in the future.” [Emphasis mine.]
For more information, see Frequently Asked
Questions on DACA Termination on the NILC site.