In general: No.
(Unless you buy Silicon Carbide (SiC) sandpaper)
Every "ordinary" sandpaper is made using either Silicon Dioxide (SiO2) or (more expensive) Aluminum Oxide (Al2O3).
The Mohs scale is one way of assessing hardness, its principle is "harder materials scratch softer ones, not vice versa". Harder materials have higher numbers on the Mohs scale.
Mohs hardness is about 9.5 for Tungston Carbide (WC) (give or take 0.05 depending on composition), about 9.0 for Al2O3, and 7.0 for SiO2. Which means neither of the usual sandpapers are able to work as abrasive for WC.
You need something with a hardness above 9.5 for being able to scratch/abrase WC, which only leaves SiC (9.6) and diamond (10.0), or Boron Nitride (BN) (not available as sandpaper, more expensive than gold, and poisonous).
Which means that, regardless of what anyone says or what someone shows in a youtube video, for any kind of "ordinary" sandpaper, there is no way you could use it to sharpen a WC tool.
They are either cheating (using SiC and not telling, or not using a WC tool) or telling fairy tales. Or maybe their sharpening is placebo effect.
SiC sandpaper costs about twice as much as Al2O3 here, and the price of diamond sandpaper is decidedly in the two-digit currency per sheet range (so not really a practical option). Your mileage might vary.
SiC is just about hard enough for WC, but don't expect it to last long.