James,
Ok, let's consider it is Adobe Campaign Standard then. For ACS, at the moment the only public API is the profile and service REST API, available on adobe.io. So if it is indeed this version that is used, i'm not sure this use case is possible until more APIs are released. And there are at the moment no external connector available.
In case it's the console version (v6), there are some integrations that can be carried out using external accounts and workflows in Campaign, for example by exporting automatically files with needed data when campaigns are started. But depending on the external tools used and the specific needs, it can need some customisation. I'd suggest to get in touch with Adobe Marketing Cloud or Adobe Campaign consultants to have more information about what kind of customisation can be done.
Hope this helps,
Florent