No. It is not possible to display images simultaneously on the TV and the LCD of the VAIO computer.
Data is to be output on the TV screen at the resolution of up to 640 x 480 (VGA) by a VAIO computer equipped with the Intel 815EM chipset. If a higher resolution is selected, the TV becomes just a virtual display.
Only PCG-FXA10 and PCG-FXA10H can be displayed simultaneously on a TV and the LCD of the VAIO computer.