Hi George,
Thank you for asking. It is a very good question.

yes, It is easily doable.

here is the code that you can use to display a different page on home page for logged in user

/**
 * When a user is logged in, tell WordPress to use 'page' on front page of the site
 * @param string $value
 *
 * @return string
 */
function buddydev_set_page_as_front_for_loggedin_user( $value ) {
	if ( is_user_logged_in() ) {
		$value = 'page';//page is set as front page
	}

	return $value;
}
add_filter( 'pre_option_show_on_front', 'buddydev_set_page_as_front_for_loggedin_user' );

/**
 * For logged in users, set our static page to act as home page
 *
 * @param $value
 *
 * @return int
 */
function buddydev_set_context_based_page_on_front( $value ) {

	if( ! is_user_logged_in() ) {
		return $value;
	}

	//for logged in user, use page id 9
	return 5;//change with your own page id.
}
add_filter( 'pre_option_page_on_front', 'buddydev_set_context_based_page_on_front' );

You can change the page_id with your own id.

Hope that helps.

Regards
Brajesh