No. VoiceOI does not push call data to HubSpot, Salesforce, GoHighLevel or any other CRM by itself, and it has no outbound webhooks or public API. Native integrations are planned. No release date has been announced.
What works today is the Google Sheets step, included on the Pro LG bot tiers. Each call that reaches it appends a row with the lead details and the answers the bot collected. From that sheet you can import a CSV file into your CRM, or let an automation tool such as Make, n8n or Zapier watch the sheet and pass each new row on.
If you run VICIdial, call outcomes are also written back to VICIdial as dispositions, so VICIdial's own reports and exports keep working.