There isn't a standard 'fatalsToEmail' pragma for the CGI::Carp module, however it would not be particularly difficult to build such functionality using the set_message method. This method allows a subroutine to be specified which is called with the text of the error message that caused the script to die - For example:

use CGI::Carp qw/ fatalsToBrowser set_message /;
use Mail::Mailer;

BEGIN {
    sub fatalsToEmail {
        my $error = shift;

        my $smtp = Mail::Mailer->new('smtp', Server => '127.0.0.1');
        $smtp->open({
            'To'    =>  'you@yourdomain.com',
            'From'  =>  'you@yourdomain.com'
        });
        print $smtp $error;
        $smtp->close;
    }
    set_message(\&fatalsToEmail);
}
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As outlined in the CGI::Carp man page, the set_message routine should be called from within a BEGIN in order to correctly interpret compile-time errors.