Yes, I would... but not the highest... it is generally the highest for a laptop, but for desktops, one of the highest easily available is 2048 x 1536, and the highest LCD monitor for desktop computers that I have used is 1600 X 1200.
I don't know how all this relates to HDTV, since I don't have one.
Your best information will probably come from a video graphics website such as nVidia or ATI, or from a good lcd monitor site such as Sharp, LG, or Samsung.