The simple answer is yes. It will require an IVR implementation build which is an add on feature for Ternio on the CXOne platform.
The IVR integration can be used to lookup and push data from the contacts from CXOne platform to your Salesforce instance. This allows specific call data to be attached to Contacts, Cases, or Tasks and the lookup of the Customers, Cases, or Tasks and display them to the agents who are handling a contact.