Yeah I guess you can do something like that
Your Column with ‘Date’ in my example is named ‘Birthday’ it’s a column in date format and 2015-09-03 dates in rows so something like you already have.
Then in filter you can put something like this:
DAY(Birthday) = DAY(CURDATE()) AND MONTH(Birthday) = MONTH(CURDATE())
Where ‘Birthday’ is a column name with dates so you might want to change that if your column has different name
It should work just fine