No, we do not currently support the mod_perl Apache module on shared hosting accounts. However, you can install mod_perl on a dedicated server or VPS package.
At this time cPanel does not include mod_perl in its latest Apache installer so we are unable to support it on managed servers. Please select our Unmanaged VPS or Unmanaged Dedicated servers if you require mod_perl.
More Information
For more information about the mod_perl Apache module, please visit http://perl.apache.org.