Is it possible to send outbound and get inbound messages using the same KakaoTalk Business channel?

Yes, it is possible and it is the best way to communicate with KakaoTalk users.

You can send an AlimTalk or KakaoTalk Brandmessage to the user and the user can directly reply to the same chat. When a user initiate a chat then all messages will be sent as ConsultationTalk. 

Note: Alimtalk and KakaoTalk Brandmessage are one-way outbound messages initiated by the business. While ConsultationTalk can only be initiated by the user. They are two different message types so you will need to enable Chat on the dashboard to get inbound messages.

Learn more

• Find out more about the Sinch KakaoTalk for Business channel.
• Sinch Developer Documentation site contains comprehensive documentation and tutorials, which show you how we support KakaoTalk using the Sinch Conversation API.
• Product Information.