funtion add_profile_page(){ 
    $title_of_page = "page name";
    if( null == get_page_by_title( $title_of_page ) ) {
            $post_id = wp_insert_post(
                array(
                    \'comment_status\'    =>  \'closed\',
                    \'ping_status\'       =>  \'closed\',
                    \'post_author\'       =>  \'1\',
                    \'post_name\'         =>  \'namehere\',
                    \'post_title\'        =>  $title_of_page,
                    \'post_status\'       =>  \'publish\',
                    \'post_type\'         =>  \'page\'

                )
            );
            update_post_meta($post_id, \'_wp_page_template\', \'mycustomprofile\');
        }  
}

add_filter( \'after_setup_theme\', \'add_profile_page\' );

/*
    Template Name : mycustomprofile
*/


// Do whatever you want here