Heya - if you look at the actual date field on your page using your inspect tool you'll probably see there is an 1 2 _3 to the element to it which you can populate directly form the URL.
So if your date element is element_1 you could using the parameters ?element_1_1=2&element_1_2=10&element_3=2023 in your url to populate the date field.
Obviously, please be careful if you are using a mm/dd/yyyy format or dd/mm/yyyy format as the 1 and 2 may either represent months or days.
Hope this helps.