Any HubSpot account users with access to contacts can be designated as contact owners using the Contact owner property.
To add a new owner to your account:
If your HubSpot account is integrated with Salesforce, the Contact owner property will be populated with the Owner value for your Salesforce Leads and Contacts. For more information on this, check out this article.
You can also add additional owners to a contact by creating a custom HubSpot user field type property. Instructions can be found here.