If your data has tabs/spaces/newlines where they should be, you can just split on the tab, and not just on any space, something like this:

#!/usr/bin/perl
use strict;
use warnings;
use HTML::Table;
my $table = new HTML::Table(-border=>0.2,
 -bgcolor=>'#F4F5F7',
 -head=> ['ColumnA','ColumnB','ColumnC', 'ColumnD', 'ColumnE']);      
+           

while ( <DATA> )
{
my @row = split (/\t/, $_);
$table->addRow(@row);
}

print $table;
__DATA__
cOne    cTwo    cThree     13 sec    cFour
cOne    cTwo    cThree     11 sec    cFour 
cOne    cTwo    cThree    1 min 2 sec    cFour
cOne    cTwo    cThree    13 sec     cFour
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