There is no way in POD, but there are many ways in Perl (at least, there is more than one way...) Go to http://www.cpan.org/modules/01modules.index.html and you will find more than 30 modules dealing with POD. In your case, maybe Pod-Simple or Pod-Parser is what you need.

With either module, extract the POD from each file and copy it to the result file. That's simple.