Form block - conditional visibility
And yes, an Airtable formula can set a field value to 1 or 0 if a form has been submitted or not in the same calendar month.
Formula could be:
One possible formula to enter a field value of 1 if a user has submitted a form in the same calendar month is:
IF ( DATETIME_FORMAT ( {Submission Date}, ‘YYYY-MM’ ) = DATETIME_FORMAT ( TODAY (), ‘YYYY-MM’ ), 1, 0 )