In case you want to know quick the short answer is no.
But the long answer is, well, of course you can. But you shouldn't ;-). Why you should not is because the framework makes some changes to the file handling in IIS and causes error with some Linux package that have file with no extensions.
These files are recognised as script and IIS attempts to find a loader for them, but there isn't any, given the files have no extensions. So IIS throws an error explaining that you are trying to access a script file via a static file handler, and it will not allow you to do that.
On a remote client you will see a generic 404 error message, whilst on the server itself you will get the full code 404.17.
Removing the framework 4.0 will resolve these problems, if you are encountering them. So now you know :D.