Can I host two sites, one domain based and on ip based, on the same apache server?

Am trying to host website example.com on my current Ubuntu server.

I have created the directories for it: /var/www/html/example.com/public_html

and within sites-enabled I created example.com.conf

<VirtualHost *:80>
    ServerName example.com
    ServerAlias www.example.com
    ServerAdmin [email protected]
    DocumentRoot /var/www/example.com/public_html

    <Directory /var/www/example.com/public_html>
        Options -Indexes +FollowSymLinks
        AllowOverride All
    </Directory>

    ErrorLog ${APACHE_LOG_DIR}/example.com-error.log
    CustomLog ${APACHE_LOG_DIR}/example.com-access.log combined
</VirtualHost>

Just changed the DNS so it will take a while to make sure that part works.

However, I'm currently using the same server with just the IP address to do some Perl scripts they're called by x.x.x.x/cgi-bin/perlscript.pl

And that part has stopped working.

The error log contains

AH01276: Cannot serve directory /var/www/html/: No matching DirectoryIndex (index.html,index.cgi,index.pl,index.php,index.xhtml,index.htm) found, and server-generated directory index forbidden by Options directive

So since I just set up just the conf file for the domain name based server, did I somehow mess up everything?

Can Ubuntu host two virtual servers where one is domain name based and the other just IP based?

---UPDATE---

The DNS update was quick enough that new domain website, example.com, works. Now I just need to be able to get back to working off my other website based purely on IP address.