Is it possible to check, via an API, whether somebody has deleted the Bot Chat in Telegram?
My test : Currently if a user deletes a chat, new messages will not stop sending to user.
Nope. Only by getting error while sending user something.
Even calling sendChatAction method does not return error if user blocked the chat:
$ curl https://api.telegram.org/bot***/sendChatAction -d 'chat_id=7975895' -d "action=typing" {"ok":true,"result":true}
$ curl https://api.telegram.org/bot***/sendMessage -d 'chat_id=81083738' -d "text=ololo" {"ok":false,"error_code":403,"description":"[Error]: Bot was blocked by the user"}