It looks like from the manual that that TV does not support 24 Hz at it's native resolution (1366 x 768), or in 720p mode (1280 x 720). It does have some sort of weird 24p mode for HDMI content at 1080p, but it is listed as a DTV mode, and the "PC" 1080p mode doesn't list that support. My guess is that they were pulling something silly to "support" 24p mode, especially since it isn't even a "real" 1080p display.
So, my guess is no.
If your TV does support it (and your video card can do it), it should show up as a refresh rate setting in both MC and in the Windows Displays Control Panel.