Can you download Minecraft on Windows 8 and run it off a USB on a Mac?

I have a Windows 8 PC which I can download stuff on and I have a MacBook laptop which I can't download stuff on. Is there a way to download the Mac version of Minecraft on my Win 8, put it on a USB and when I plug it into my Mac it saves everything and installs everything onto the USB?

No just download the mac version it won't work