Can there be a link between celiac's disease and polycystic ovarian syndrome (pcos)?

Not aware of one: Pcos is a hormonal disorder from birth. There is a genetic component related to male hormones and insulin.; celiac is autoimmune in nature. So their causes are separate. One make make the other worse especially if medications are needed.

Interesting question: While there are no studies showing a link between celiac and pcos, pcos has been shown to be associated with autoimmune thyroid disease. As celiac is another autoimmune disease and autoimmune thyroid disease can be associated with celiac, i would argue that there is a possible link between pcos and celiac. Women with pcos do well on a low carb diet, so cutting all gluten out might be reasonable.