I have a product idea. Can I apply for a patent?

The patent itself begins with an idea, and the application document is a written description of the idea. As long as your idea can be realized by engineers in the corresponding fields, you can apply. You don't need to make your own model. As for the functions you mentioned, if they are all realized by software, you only need to describe them in words. If you think this idea is very marketable, you'd better find a formal agency. You can ask me again if you don't know.