No. There is no block in the ChatBot control to tell you how many tokens you have available . Experimental
Sorry, using the ChatBot with OpenAI you can not query the remaining tokens when you use the MIT free token allocation.
If you bought tokens from OpenAI and set your API key to use your own OpenAI you will have your own token limit.
If you have your own OpenAI API key and set it on ChatBot as an ApiKey for ChatGPT provide, ChatBot will use it instead of the API key embedded in the 'free' chat proxy service. However you still cannot check your usage using the MIT control.
You might be able to use an extension to use more of the features of OpenAI. The following extension might give you more options.