Hi newchickmomma83!! Welcome to BYC.
If you can post the state you live in, that's helpful.
You can search BYC for pallet coops - both in general & in the Articles section under Coops. Coops are divided into small, medium & large.
Here's an old one on BYC. It's bigger, 2 levels of pallets. There are others, including at least one that is current w/i last 2-3 years.
Thread 'OUR CHICKEN COOP MADE OUT OF PALLETS

Pic Heavy Almost finished'
https://www.backyardchickens.com/th...-of-pallets-pic-heavy-almost-finished.206569/
I thought i had a link to a very nice build w/ some unique features, but I'm not finding it now. It's also a 2 layer build. Painted a blue grey color. For a while, it showed up first in pallet build searches. It has been linked here on BYC (pretty sure that builder wasn't a BYC member).
You can also Google & Pinterest "pallet coops", "chicken coop from pallets", "shed from pallets", etc...
There are many ways to build a pallet coop. You can leave them whole, cut them apart getting shorter slats or completely de-construct them to utilize the parts. You can find larger pallets that have a solid board for the top - giving you a solid wood sheet (usually a type of OSB?) to work with. There are even plastic pallets.
@gtaus has a whole thread (getting rather large) about pallet projects. I keep losing it, when reading other threads, LOL.
I have used pallets for temporary shed builds that became pretty permanent. I did not completely cover them to make walls. I used t-posts to stabilize them.
This one was very temporary. Put up on rented property, when we were buying our own & moving out of a lease that was foreclosed on. Built end of Oct 2014, removed end of Jan 2015. I put it together, by myself, in one afternoon. Ground was level, pallets were all sized 48"×48", held together w/ t-posts & haystring.
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This was built on new property. Held together same as above. Meant to also be very temporary, but worked well enough that we never got around to actually building sheds. Wish I had put a brick or cinder block foundation & better "ties" on it. But then again, it's withstood 3 hurricanes, several wind & rain "events" (not classed as either tornados or hurricanes) & still stands today w/ original tarp (very holey now). It is somewhat protected by a 3 segment row "barn", 2 other hooped chicken tractors moved into permanent spots behind that barn & a very large pine tree. The haystring needs to be replaced. No longer have ponies, it's become a "storage shed" of sorts...
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Then I made a single CP hoop coop w/ other pallets. Again, didn't make pallets into solid walls, but put wire over them. I inserted large, heavy cardboard sheets (washer box) on one side (right side) between the hooped & wired CP & the 3' field fence pasture its butted against. Easily replaced when no longer working. Didnt think to take pictures. Then used a combo of bottles & cardboard on front right. They stayed dry and un ruffled during wind & rain events. Again, wish I'd put a brick or cinder block foundation. The pallets are all sorts of crazy sizes, don't match & though stamped as PT, they are totally disintegrating, not just at the "bases" set directly on the ground, but also boards throughout. This is what I'm dismantling now, to refurbish/rebuild.
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You could also consider a full hoop coop design or dog kennels. Many designs here on BYC.
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Edit - i found his shed build. Still looking for his coop build. It's similar, but not the same...
https://theownerbuildernetwork.co/easy-diy-projects/diy-pallet-shed/