Is there any out of the box connector or API available for AEM integration with Hubspot.
There is No OOTB but you can create your custom component or service to integrate AEM with HubSpot.
HubSpot provide is REST based APIs  and you can invoke RESt APIs from AEM by .
 API Overview | HubSpot API
Adobe Experience Manager Help | Creating Adobe Experience Manager bundles that invoke third party Re...
There is no such connector available OOTB.