If you ask this because you want to do photo retouching work on the gaming laptop, the answer is yes. The color space of sRGB or Adobe RGB is coded into the file. The rendering device (display, printer, projector) which displays the colors then tries its best to reproduce the colors in the specified color space.

So if your internal display does not cover enough of your target color space, you can always attach a display that does - as long as your graphics card is able to cope with the rest of the display's specifications (refresh rate, resolution).

Back in VGA days with analogue signals, a really bad graphics card could ruin your color rendition. Nowadays, with digital signals (hdmi, display port, etc) this would only be a theoretical issue if the signal processing is really broken. I experienced things like flickering if graphics card and display had some real issue with each other, but never really skewed colors. And even that is fairly rare. In the last 5 years in IT, I had one display that would not work with a certain Apple laptop no matter what we tried, so I would rate that rather as anecdotal.

Note: You still will have to calibrate the combination of GPU and display to have your colors as precise as possible and maybe to disable any tools within the GPU's driver that might do automatic brightness control or "night shift" color shifting, but that was not really part of the question.

So, to sum it up:

• Only the output device is the real limit of the color space coverage
• The graphics card is not a limiting factor in this instance
• Software can ruin your color space coverage (Night Shift, Fancy GPU Driver Tools that influence color rendition)
• You still might need to calibrate your display to fully utilize it's color space coverage.