G'day vihar,

Welcome to the monastery.

'This is what I originally had to access these files on the same server:
@files = glob "/mmk1/rdd/load/file.txt"'

I don't know what this is supposed to tell us; perhaps some further explanation was omitted. In list context (as you have here), glob performs filename expansion on the expression provided; as you have no wildcards, all this does is:

$ perl -Mstrict -Mwarnings -le '
    my @files = glob "/mmk1/rdd/load/file.txt";
    print "@files";
'
/mmk1/rdd/load/file.txt
[download]

"I can't write Perl scripts on that server because all my Perl modules are installed on the old server. Is there a way to solve this issue?"

You can add a coderef hook to @INC (see perlvar: General Variables) that may be able to do this for you. See require for details; the basic idea is to do something like this (completely untested):

push @INC, \&get_remote_module;

sub get_remote_module {
    my ($coderef, $filename) = @_;
    open my $module_fh, '-|', "<$filename transfer command>" or die "m
+esg: $!";
    return $module_fh;
}
[download]

where "<$filename transfer command>" might be (simplistically) "curl scheme://your.domain/perl/lib/path/$filename".

Update: fixed typo s/sub get_remote_modue/sub get_remote_module/