Yes, the API has nothing to do with the web interface for ChatGPT.
I don’t know why your API access got terminated but it shouldn’t affect your access to ChatGPT either.
If you can still log-in to the forum here, it implies that you still have an account and should be to access to ChatGPT.
If accessing ChatGPT is still an issue for you I suggest checking our megathread about the recent outage. Since the last fix has been deployed by OpenAI other users have written more detailed guides how to restore the functionality.
It will be most practical to start at the bottom and work your way up.
Hope this helps!