No. Connectors access is unavailable for DocSearch applications.
Alternatively, you can convert from DocSearch to the paid Crawler add-on to a paid Algolia plan. This will include access to the Data Hub for the new Algolia application.
If you would like to speak with a member of our Sales team regarding Crawler and plan pricing, please submit a Support request.
The free DocSearch plan, doesn't include technical web support from the Support team. For further assistance, you can post your question on the Algolia Community Forum or Discord. For front-end issues, you can raise the issue directly on GitHub. In addition, you can review our DocSearch Documentation and FAQ.