If you used anything besides cash, you can get an exchange. Target can use a credit/debit card, or check, or (Somehow)gift card to look up your purchase.

Here's a bright side to Kohl's: IF you have your receipt, and the item goes on sale within two weeks, you can get the difference back. IF YOU HAVE YOUR RECEIPT.
This is how I purchase my kids' winter boots. If I can find boots in the kids' size, I snap them up.

Regarding the broken zipper: I realize your daughter needs a jacket right now. But you can take that other jacket to a dry cleaning shop, and ask if they can fix it. It might take a week or so, but you can get the zipper replaced for much less than the price of a new jacket. You might find a use for the repaired jacket.