Yes, as long as your configuration is valid, it doesn't matter where on which server the service is used.
And yes - the client will all have to use the same config - you basically need to specify the "ABC's of WCF" - address, binding (and possibly binding configuration) and contract - the WHERE, HOW and WHAT of your service.
You can share a lot of the config - especially binding configurations - between server and client with this method: externalize certain parts of the config.
In your server, have something like:
<system.serviceModel>
<bindings configSource="bindings.config" />
</system.serviceModel>
and then in your bindings.config
file, define:
<bindings>
<basicHttpBinding>
<binding name="BasicNoSecurity">
<security mode="None" />
</binding>
</basicHttpBinding>
</bindings>
That way, you can copy that file bindings.config
to the clients, and reference it from the client's config file, too - sharing the same information and making sure it's the same and up to date on both ends of the communication.
This also works for any other of the subsections under <system.serviceModel>
(like behaviors, extensions and so forth).