@hugitnotnugget
Could be a few things - not enough niacin and/or other B vitamins early on (always worth adding them now)
Could be the little one ate something toxic - or could be botulism, a specific kind of toxin.
Could be an infection gotten into the bloodstream.
Response for ducklings with likely niacin deficiency
People often get confused about what to use, so please stick with me here
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You have some options.
I would go with brewer's yeast. Forgive me for using capital letters, but for anyone else who may casually look over this thread, NOT baking yeast, NOT winemaking yeast. Brewer's yeast is a nutritional supplement and it provides niacin and a few other vitamins.
Generally, folks who supplement with brewer’s yeast use a tablespoon per cup of food.
Ducklings need about three times the niacin chicks do. And some ducklings get leg problems or seizures if they don't have enough niacin.
If you cannot find the brewer's yeast, or if you happen to have (here come the capital letters again, please forgive me) PLAIN niacin - NOT no-flush, NOT timed release, then dissolve 150 mg niacin per gallon of water for the duckling’s drinking water.
Another approach is to use B Complex capsules, and use the B3 - niacin - levels as a guide. Again, 150 mg B3 per gallon of drinking water.
Keep the little one on the supplements for about 8 weeks.
Sometimes it only takes a few days to see improvement.
You can also see how it went for Qwackers and Bentley from these threads.
https://www.backyardchickens.com/t/857143/treating-wry-neck-in-crested-duckling-edited-title
https://www.backyardchickens.com/t/761308/peking-duckling-with-crooked-neck-help
For botulism or toxicity
https://www.backyardchickens.com/t/700526/flushes-for-aiding-in-toxin-removal#post_9508213
at this point, just the charcoal slurry may be what I would use
for antibiotics, feed stores sell them - you might try duramycin or tylan . . . not sure if either of those would be the right thing.
Ideally, a good duck vet would be willing and able to help you out.