Depending on your health plan, your insurance may cover prescription eyeglasses or prescription sunglasses. And sometimes there will be a price limitation. If they are at a very low price, you may not be able to apply for any reimbursement.
I think you can. My mom is a glasses wearer and she has bought plenty of them. Glasses can be expensive sometimes and she did save a lot thanks to her insurance.
You’d better confirm it with your insurance company what documents they need. Some glasses stores cannot offer those required documents, so first things first, remember to get all the details ready.