No, applying nanocrystal coatings to clear eyeglasses along with a high-powered infrared flashlight would not allow the wearer to see the infrared spectrum in total darkness.
Infrared light is a part of the electromagnetic spectrum that has longer wavelengths than visible light. While some animals and certain night vision technologies can detect and perceive infrared light, the human eye is not naturally sensitive to this range of wavelengths.
Nanocrystal coatings on eyeglasses typically serve purposes such as anti-reflective coatings or UV protection, but they do not have the ability to enable the wearer to see infrared light.
Even with the use of a high-powered infrared flashlight, which emits infrared light, the human eye is still not capable of perceiving it. Infrared light is beyond the range of human vision, and no amount of coating or additional light source will enable the eye to see it.
To see the infrared spectrum, specialized devices such as infrared cameras or night vision goggles are required. These devices are designed to detect and convert infrared light into a visible image or enhance the low levels of visible light available in dark environments.