Looking at the manual and user guide, this doesn't look like something that is possible with this camera (if another HX100V owner knows otherwise - please say!).
To generally speed up the time taken for the camera to be ready for the next shot, you could try reducing the resolution / image size so that the size of the image file is kept to a minimum (with the high resolution of modern cameras, you usually find that the highest quality settings are only really necessary if you intend to get larger prints made). To adjust this setting, full options are described in this section of the user guide:
The best option to do is to disable the display screen and use the viewfinder instead. I also have a HX100V, but don't have any idea if you can disable the newly captured image to display if the screen is enabled.