You won’t be able to have the date picker itself display date only as initial content needs to be a full date type, but you can have a text element that takes the date picker’s value and use :extract date to pull out the number. Note that this converts that piece to a number and it is no longer part of a date format.
So you don’t want a date picker, you just want a number picker. You can set an input to only accept numbers, or you can set a dropdown to only have a list of appropriate numbers.
So if I create an input to only accept numbers, and the user enters in 3 that will correspond to the 3rd of every month; how do i determine if the bill is over due or current by comparing the input with the current date/time?