Yes, Chili Piper offers HubSpot and other CRM integrations, but its routing, distribution and handoff features are built around Salesforce objects, and that is where most of the plan's value sits. A team without Salesforce is often paying for the part it can use least.
If your CRM is HubSpot, Pipedrive or a spreadsheet and you route by availability, a scheduling tool with round-robin covers the same daily workflow. If your inbound flow also needs leads and tickets assigned by rules outside the calendar, keep that in a routing tool and let the scheduler handle the meeting.