Cyber-Ark Privileged Identity Management API

I think the answer might be 50% yes, 50% no. Definitely Cyber-Ark offers web services and an API for their Vault objects, so you should be able to retrieve passwords from the Vault from a trusted application. There is a paragraph of sales information on Cyber-Ark's website:

Cyber-Ark's comprehensive SDK provides an interface to the Vault objects that you can use to develop custom solutions that work with the Vault. Cyber-Ark provides a variety of SDK such as Command Line Interface, ActiveX API, .Net API and Web Services API

But beyond working with their Vault objects, I'm not entirely sure. I'm currently looking for more information on their Vault web services, and I think I need to register to be a Partner to get that information. I'll post a follow-up if I learn anymore.

You are suppose to purchase an API license per server to have read-only access to the vault for authorized applications.

They provide Java, C#, etc. libraries and you place authorization key material on the server to enable it access.

It is called CyberArk Application Identity Manager, an entire sub-product. The only reference I could find:

http://lp.cyberark.com/rs/cyberarksoftware/images/ds-application-identity-manager-10-20-2014-en.pdf