Is conjunctivitis and yeast infection at the same time related or coincidence?

Could be related..: Yeast can cause conjuctivitis so yes they could be related. Have them treated and wash your hands regularly.

Coincidence: Most conjunctivitis ( especially in healthy people) is viral, and therefore self limiting. Bacterial conjunctivitis is less common, and will respond to topical antibiotics. Yeast (fungal) conjunctivitis would be extremely rare.