Yes, but not with the camera alone. An HDMI output is just a continuous stream of video frames, so to delay it you need something in between that can buffer the signal and send it out later.

For a very short delay, a dedicated video delay unit may work; some inexpensive boxes only add a few frames of delay. For a longer delay, you generally need a device that can capture and store the HDMI feed—effectively recording it and replaying it later. In practice, that usually means a computer or specialized video hardware with HDMI capture and enough fast storage, or a professional buffer-and-send delay box.

So the basic options are:

• short delay: dedicated HDMI/video delay hardware
• longer delay: computer or pro video system with HDMI capture and buffering

The main limits are how much delay you want and how much you want to spend.