Redirecting the get_iplayer output

[JCA]

    I am running get_iplayer on a box A. This box has a VPN tunnel
that allows me to use get_iplayer successfully. On the same LAN as A I
have another box B. There is no VPN tunnel on B, which implies that
get_iplayer won't work on B. Taking advantage of the fact that A and B
are in the same network, would it be possible to stream the video
material received by get_iplayer in A into B, so that it can be played
on B as well?