Complicated.
Short answer: No. At least not yet.
Long answers:
iPhone — No, and probably never. Apple doesn’t allow third parties to access an iPhone’s call history.
Android — Not yet, but eventually. When we develop our mobile app, we’ll be sure to include call history.
VOIP — Not yet, but theoretically yes. It will depend on the VOIP vendor and their software API. If this is a need you have, let’s talk.