Probably not, because of the encryption problem. If a hack were found that could disable encryption entirely, then we could be in business (but it does not seem likely after this long).
IIRC the Foxsat-HDR uses an unencrypted 0.ts file, if you were prepared to go satellite (see http://hummy.tv/forum/threads/accessing-0-ts-remotely.2392/page-2#post-30167
). You need to bear in mind that accessing the 0.ts (ie the live buffer), whether on the Foxsat or a hacked HDR-FOX, is never likely to be seamless - it is a circular buffer, so whatever you use to play it needs to understand the properties of a circular buffer rather than the normal "start at the beginning and end at the end".
However, there are DVB-T receivers which do nothing but
provide a live stream to the home network:
I still recommend simply using the existing streamed TV services.