Can they? Yes. Should they? Never. Please take your dog to a vet and have her spayed per your vet's recommendation. Please don't make this problem worse than it is by not taking your dog to a vet. Good luck!
Since a pit bull and a chihuahua are the same species, they can have babies. A chihuahua could impregnate a Great Dane if the situation were right. The problem with your situation is that you're potentially adding to the dog over population problem if your dog has these puppies. You're also taking a risk in the health of these dogs because I would imagine neither dog was tested for predisposed health issues. Just imagine if the genders were switched and what the problem would be if a chihuahua were to give birth to puppies from a larger pit bull. My hope for you is that your dog is just maturing. The teats are getting large because she hasn't been spayed yet. There are numerous health benefits if you have your dog spayed. So please have your dog spayed, and make an appointment today. Good luck!
but should not have happened you need to go to vet fast have her spayed so she wont give birth to unwanted puppies that may end up like your male dog dead she will never know the difference and she will be a much nicer pet