Simply put: No. That deals with Timestamps, not date-stamps. The difference is if you create a timestamp, you can use that with the [man]date/man function to put that timestamp into any format (date and time) from an integer.
For your purposes, that really doesn't apply to you.
If you've got 3 drop-downs (Month, Day, Year) and you want to format a string like YYYY-Month-Day, honestly it's as easy as:
<?php
$date = $_POST['year'].'-'.$_POST['month'].'-'.$_POST['day'];
echo $date; // Just to show the formatted date
There is no need to use the [man]date/man function to insert it into a mySQL database. You can just use the properly formatted string (see 4 lines up). It's actually a lot easier than we've been telling you, and I just now realized it. Sorry.