This screen protector line kills the COVID-19 coronavirus on your Galaxy Note 20, S20 or iPhone 11 display
The answer is not on its own, as germs are always languishing there for your immune system to take care of, and are of too little a concentration to cause much harm, while the COVID-19 virus is mainly transmitted by infected people shedding it when they talk, cough, sneeze, cry or sing, but you can never be too careful with these things.
It, however, depends on whether you have contact with people that carry the COVID-19 strain and common surfaces they may have touched with unwashed hands or sneezed on. You can then pick up the germ unwittingly, and smear it all over your handset with usage.
How long it stays there depends on the case material, too, as per the new "Aerosol and surface stability of HCoV-19 (SARS-CoV-2) compared to SARS-CoV-1" research (PDF) posted in The New England Journal of Medicine (NEJM).
Here's how long can the coronavirus last on your phone display surface, frame, or stay on your case (at 68 degrees):
2-3 days on glass, metal and ceramics
Up to 5 days on plastics
Up to 4 days on wood
Less than 8 hours on latex
2-8 hours on aluminum
13 hours on steel is the median half-life estimate for HCoV-19
16 hours on polypropylene
As you can see, detectable traces of the HCoV-19 coronavirus strain can stay on phone's surfaces for days, so word to the wise - clean, sanitize, disinfect your handset as often as you can if you have contact with coronavirus carriers or areas where it is present.