No, But you can define the current month like:
BETWEEN DateSerial(Year(Date()), Month(Date()), 1)
AND DateSerial(Year(Date()), Month(Date()) + 1, 0)
For previous month use:
This article describes how to use the timestamp of existing data in a database to allow Tableau to calculate the prior work day instead of relying on case statements or if statements to calculate the days of the week.
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