Answers to At what exact time was the Pale Blue Dot image taken? say that the famous image was taken by Voyager 1 on 14-Feb-1990 and it took until May of that year for all the data to be sent back to Earth since there was a whole series of images taken at the time because the camera would then be shut down permanently after the last image.
Answer(s) to What's next for New Horizons? suggest that it's camera is working fine and may be used for astrometry; measuring the apparent position of the nearby stars Proxima Centauri and Wolf 359 out at 40+ AU in order to quantify the parallax compared to images taken from Earth.
On 14-Feb-2020, 30 years after the original image, New Horizons will be about 47 AU from Earth, only about 20% farther than Voyager 1 was when it took the famous image. Does New Horizons have the ability to make a new "Pale Blue Dot"-like image some time this year, when Earth would be at maximum elongation?
If no, what is the limiting factor or difference in capability?
From The BBC's Nasa 're-masters' classic 'Pale Blue Dot' image of Earth