Yes, it is possible. The GPT 3.5 Turbo model (the same one used in Bing and ChatGPT) is already available, but this type of model is pre-trained, and fine-tuning is not possible on it.
However, you can fine-tune your model using the davinci model (GPT 3) and train it to recognize and generate API calls integrated with your Bubble database. I created a plugin to assist in the fine-tuning process, and if you are interested, you can access it through the link: Unleash the Power of GPT-3 with the New Trainer Plugin!
I hope this helps.