Hi.
I can confirm it is possible, but you need a rooted Note 2. I just copied a 5.26 Gbyte video to my Note 2 64 GByte card ...
It's not stable though: just after copying, the Note 2 became veeeeeeery slow and needed a reboot. I'm sure that'll work out better in the future.
You need:
- On the phone: SGS3 Easy UMS (see here)
http://forum.xda-developers.com/showthread.php?t=1711009
- On the PC: SAMSUNG_USB_Driver_for_Mobile_Phones.exe (see here)
http://forum.xda-developers.com/showthread.php?t=1564104
SGS3 Easy UMS needs BusyBox and asks for its installation. I used the "Install" method during the BusyBox installation instead of "Smart Install". I don't know if it matters, but it worked at least.
Because of the slowness issue, I instructed SGS Easy UMS to use MTP again as default. It's easy enough to swith to UMS mode if necessary.
YMMV : hope it helps