Yes. All our plans come with CGI-BIN access. Actually, you can run Perl or PHP scripts outside your CGI-BIN folder as long as they're inside your "public_html" folder.
Perl and PHP scripts can even be executed below the "public_html" directory using cron jobs or by calling the script from another script resident in the "public_html" directory or above.
Real Path to public_html is: /home/username/public_html
Of course, change username to your actual login username as was provided to you in your welcome letter.