I am new to WordPress. I wanted to know can I make a WordPress site and then write FastAPI routes for interacting with database and inferencing AI model and similar, then add this to WordPress site?

I am an ML engineer and I don't know a lot about WordPress capabilities.

I want to have a bunch of user and I want to save their activity into database then read data from database and use that to inference AI model. And show results to user. I want to know is it even possible to add such routes to CMS system like WordPress and if it is possible can I use FastAPI for that?