Is there a way turn off jQuery noConflict mode in WordPress?

If you are including your own javascript library or scripts you can add the following to the very top:

 var $ = jQuery;

I found another way of making the variable $ available globally. Just put the following in your theme's functions.php or in a plugin:

function so17687619_jquery_add_inline() {
    wp_add_inline_script( 'jquery-core', '$ = jQuery;' );
}
add_action( 'wp_enqueue_scripts', 'so17687619_jquery_add_inline' );

This will output $ = jQuery; as an inline script immediately after the script tag for jQuery. So any scripts included after have the jQuery instance available as $ and jQuery.

After some research, this is the best answer I can give you:

$ = jQuery.noConflict(true);

To answer your other question, no you can't pass in false, the attribute is used to control what happens to global variables. You can find the documentation here: http://api.jquery.com/jQuery.noConflict/

Also note you could load 2 different versions of jQuery as it suggests (but is not recommended).