Is it possible to 'fork a fork' in Github?

Question

I am currently working on a project that is a spinoff (fork) from a framework I have been working on.

This project is intended to be pretty generic, but now I need t

Answer 1

Simple answer: Yes and no.

No, for a single account as you are unable to create two repositories with the same name (and forks always have the same name).

Yes, for multiple accounts. So you could setup an organization for your second fork.