Facebook as a proxy, is it possible?

Question

Facebook

There is a certain provider that does not charge traffic to the site m.facebook.com.
There is an idea to create an application on Facebook that would act as a proxy.
The idea is the following. A certain service is launched on the client, which sends all HTTP requests from applications to 127.0.0.1:1488 to this application, the application goes to the Internet and returns data from the Internet to the service.
Question: is it possible to do this? In which direction to dig, that is, what API methods to look at?
PS With api Facebook is absolutely not familiar.