You need to create custom module
First, alter the original form
function YOURMODULENAME_form_alter(&$form, $form_state, $form_id) {
if ($form_id == 'node_wallpaper_form') {
$form['#theme'] = 'your_theme_name';
}
}
function YOURMODULENAME_theme() {
return array(
'your_theme_name' => array(
'variables' => array('form' => NULL),
'template' => 'template_file_name',
),
);
}
In the template_file_name.tpl.php put fields :
print drupal_render($form['field_name']);
//Drupal needs to render form_id, form token etc as well so also put this:
print drupal_render_children($form);