Sure, open STDIN and STDERR as those files:

use File::Basename;
my $script = basename($0);
my $logpath = '/path/to/logs/';
open STDOUT, ">> ${logpath}${script}OUT.log" or die $!;
open STDERR, ">> ${logpath}${script}ERR.log" or die $!;
[download]

Hope that helps.

After Compline,
Zaxo