Can we see in foggy weather with night vision binoculars?

The answer depends on the type of night vision binoculars you have. If your night vision binoculars use thermal imaging radiation technique to produce the image, then those binoculars will work fine in the presence of smog or fog. The night vision binoculars that belong to the Gen 1 will not work effectively in smoke or fog. While those belonging to Gen 2 and Gen 3 will work fine.