Hey Christopher,
The code on this link https://support.advancedcustomfields.com/forums/topic/date-picker-field-starting-from-before-1913/ works for me. As you can see in my screenshot below, I was able to output 1923 below.

Please follow the steps below:
First, you need to add this code in your child theme functions.php
function my_admin_enqueue_scripts() {
wp_enqueue_script( 'date-picker-js', get_template_directory_uri() . '/js/custom_date_picker.js', array(), '1.0.0', true );
}
add_action('admin_enqueue_scripts', 'my_admin_enqueue_scripts');
Then inside your pro-child theme folder, create a folder called js, and inside the js folder create a file name called custom_date_picker.js. Please add the code below in your custom_date_picker.js file.
// function to merge two Javavascipt objects IE compatible, from prototype.js http://prototypejs.org/doc/latest/language/Object/extend/
function extend(destination, source) {
for (var property in source)
destination[property] = source[property];
return destination;
}
// Acf hook -> Hooks -> Filters -> date_picker_args
// see https://www.advancedcustomfields.com/resources/adding-custom-javascript-fields/
acf.add_filter('date_picker_args', function( args, $field ){
// do something to args
var custom_args = {
yearRange: "-200:+100", // value to change
};
args = extend(args, custom_args)
// return
return args;
});
Hope that helps.