Probably not.  But you can file a return with $1 of interest income.

https://www.irs.gov/pub/irs-drop/rp-22-12.pdf

If you scroll way down to Section 4, they finally tell you on page 15:

In addition to all other information required to be entered on Form 1040, Form 1040-SR, or Form 1040-NR, a zero AGI filer must enter the following:
(1) $1 as taxable interest on line 2b of the form;
(2) $1 as total income on line 9 of the form; and
(3) $1 as AGI on line 11 of the form.