Short answer: Using a Perl program as the client or server is just fine. Your only problem might be your personal skill and experience level, but after you do it you know how to do it. :) Most of the problem is choosing how you need to do it, not the technology involved. Perl isn't going to be the problem, but it doesn't have an advantage over other languages either.
As some have already noted, the socket portion of the problem is going to be the same in most languages since almost everything uses the BSD stuff. Perl doesn't have any roadblocks or special gotchas for that. To move data around you create one side to listen on a socket and the other to open a connection and send the data. Easy peasy. You might want to check out Lincoln Stein's Network Programming with Perl for that bit. That can get you the low-level bits.
For higher-level networking, POE is very useful and easy to work with once you get started. It's a framework for dealing with event-driven programming and has many plugins to easily communicate between processes. You might spend a little time learning it, but it gives a lot back too.
If you aren't inventing your own protocol, there's most likely already a Perl module that can format and parse the messages.
If you just want to transfer data, there are several things you can do. The easiest in concept might be just to write lines to the socket and read them as lines from the other end. A bit more complicated than that is using something like Data::Dumper, YAML, or JSON to serialize data to text and send that. For more complex things, such as sharing Perl objects, you might want to use Storable. You freeze your objects, send them as data over the network, then thaw them on the other side.
If you want to implement your client and server in different languages you have a bit more work to figure out how they'll talk to each other. The socket stuff is mostly the same, but a Java server won't understand the output of Perl's Storable (it's possible, but you'll have to parse it yourself and that's no good :). If you do everything right, neither side should care what you used on the other side.