How do I load custom scripts and styles for a page?

Yes, you may add conditional tags to the wp_enqueue_scripts action. See the examples below:

function load_assets() {
   wp_enqueue_style( 'styles', get_template_directory_uri() . '/css/styles.css');

   // loads on any 'page' post type
   if( is_page() ){
       wp_enqueue_script('main-js', get_template_directory_uri() . '/js/main.js');
   }

   // only loads on the page with a slug of 'home'
   if( is_page('home') ){
       wp_enqueue_script('home-js', get_template_directory_uri() . '/js/home.js');
   }


}
add_action( 'wp_enqueue_scripts', 'load_assets' );

For other examples of is_page() usage, see the codex page:
https://codex.wordpress.org/Function_Reference/is_page