Yes. In fact it even simplifies the code, and you can use the Core Time::Piece module: 
use warnings;
use strict;
use Time::Piece     qw();
use Time::Seconds   qw(ONE_DAY);

my $t = Time::Piece->new();
my $past = $t - (60 * ONE_DAY);
while (<DATA>) {
    chomp;
    if (/\d{2}\d{2}\d{4}/) {
        my $dir_date = Time::Piece->strptime($_, '%m%d%Y');
        print "delete $_\n" if $past > $dir_date;
    }
}

__DATA__
11012014
11132014
10092014
09092014
11112015
01012015
04012015
01042011
10122014

[download]

In reply to Re^3: Delete directories older than 60 days by toolic
in thread Delete directories older than 60 days by Anonymous Monk

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.