Oh, this is old story. The same question was posed about the Hubble Space Telescope (HST):
Can Hubble see the Apollo landing sites on the Moon?
No, Hubble cannot take photos of the Apollo landing sites.
“An object on the Moon 4 meters (4.37 yards) across, viewed from HST, would be about 0.002 arcsec in size. The highest resolution instrument currently on HST is the Advanced Camera for Surveys at 0.03 arcsec. So anything we left on the Moon cannot be resolved in any HST image. It would just appear as a dot.”
HubbleSite - Reference Desk - FAQs
The same principle applies for the JWST. This myth is based on misconceptions about how telescopes and light work. Feel free to read more about it here.