The short answer is no.
LCDs use a protocol called LVDS (Low-Voltage Differential Signaling) which is far from VGA or HDMI, at least to do it without any COTS parts.
You'll need to buy an LCD to HDMI or LCD to VGA adapter. It'll look something like the image below. It'll come with a power inverter board for the LCD panel, the interface board which will connect to the LVDS cable, and a button board to turn the monitor off and such.
Since you know what model laptop it came from, you should be able to find a suitable adapter for it. Otherwise you should look for a model number for the LCD.