[Plugin: Front-end Editor] edit only custom post types

Yes, by adding this code in your functions.php file:

function fee_restrict_post_types( $allow, $data ) {
	$allowed_post_types = array( 'page', 'foo' );

	$current_post_type = get_post_type( $data['post_id'] );

	return $allow && in_array( $current_post_type, $allowed_post_types );
}
add_filter( 'front_end_editor_allow_post', 'fee_restrict_post_types', 10, 2 );

Obviously, change $allowed_post_types to what you need.