Here's another answer I found from raisingchickens.org, I'm pasting it below.
Closed Eyes on chicks: I recently got 12 chicks. They are a few days old now. There is one very small chick that won't open its eyes.
It is a White Crested Black Polish chicken. Like I said, it is much smaller than the others. Is it having a health problem? When can I expect her to open them?
She is lethargic and stands in one spot, hunched over, but she does peep very loudly.
Answer
The loud peeping is a distress call. She is not well at all and wants help. She should be separated from the others. They may pick on her, making things worse, or she could be contagious.
With such a young chick, I would suspect she is suffering from shipping stress. She may not have eaten or had enough to drink soon enough. There is a product at the feed store called Chick Save, made just for this kind of problem.
For quick energy and possibly saving her life, you might mix some honey, molasses, or sugar in warm water, about 1 tsp per ¼ cup. Add in a pinch of salt and offer her a few drops.
Often a young chick’s blood sugar has dropped to a life threatening low and this could save her and give her enough energy to open her eyes and eat and drink normally.
Being the smallest, she may get bullied by the others, so if she does well and you can put her back with the rest, keep and eye on all and make sure she is OK.
