Theoretically HDMI could do the job, at least concerning the bandwith: 2K 14 bit rgb 4:4:4 are 2,23 Gbps, HDMI 1.0 already did 4.9 Gbps.
http://web.forret.com/tools/video_fps.asp?width=2048&height=1080&fps=24&space=rgb444&depth=14
"HDMI 1.0: The original spec called for a single-cable digital audio/video connection with 165MHz bandwidth and a maximum bitrate of 4.9Gbps."
Yeah HDMI bandwidth spec is not the issue. It is the bandwidth of the signal processing circuitry on each end of the chain and whether the raw stream can even be routed to the HDMI port. DNG raw is far less data intensive than uncompressed encoded RGB or component video if you don't process it. For 24 fps 12 bit DNG raw, about 600Mbps not including metadata and audio.
Still requires storage media and pipeline processors that can sustain around 90MBps data rate for the full record to capacity time of the SD card without overheating or dropping frames.
Latest gen 1000x UDMA 7 cards can do that, at least some can. Data rates the card supports can drop severely as it gets close to full capacity.