Can I fork another persons repo twice into my own account?

In your case, I would suggest going with submodules. However to answer your exact question, here's how you should proceed.

1. Start by creating Jeremy/MyShooter and Jeremy/MyRPG on Github. Keep them empty.

2. Clone your origin project on your system, twice, giving it different names

   $ git clone http://github.com/Bob/CoolFramework MyShooter$ git clone http://github.com/Bob/CoolFramework MyRPG

3. You now have 2 different local repos pointing to the same origin. You should remove the origin and point to yours as a remote:

   $ cd MyShooter$ git remote remove origin$ git remote add origin http://github.com/Jeremy/MyShooter.git$ git push -u origin master

4. Don't forget to do the same for MyRPG

From the sound of things, you are using a framework within a game you are creating. If you are just using the framework and not changing it, create a new project for your game and include the framework project within it as a sub-module.

Assuming you are not modifying the framework, you should not be forking it. Forking a project is for modifying (often with the intent of submitting your fork to be merged back into the source project).

You are unable to fork a repo twice on Github (as of late 2021) but if you want to build on the same repo multiple times, you can use the "Import Repository" option and feed it the URL used to clone.