[madhouse]

You might wish to have a look at git-annex: http://git-annex.branchable.com/

The answer in any case is: yes, you can. However, the next question would be: "How?" and "Is it worth it?".

I haven't used git-annex yet, but it seems to me, that might be the solution for you. If I wanted to share a lot of big files, I'd certainly give it a try.