Can you keep a little lab puppy that is 7 weeks old outside

No, one puppy by itself could never keep itself warm in cold weather. You would need to be very careful if you try to add heat to make sure the puppy couldn't chew the cord. Dogs belong in the house with their people. Why have a dog, if you don't have it with you?

Although puppies tend to chew and wet, there are ways of managing it, mostly giving it the attention it needs, and crating it when you can't. Puppies also should not be left more than 4-5 hours by themselves. Much of what I have learned is in the sticky at https://www.askmehelpdesk.com/dogs/i...tml#post251802

If you don't want to give a puppy what it needs, you would do better adopting an older dog, or perhaps no dog at all. One of the best sources for dogs with a predictable personality is the rescue dogs. These are dogs that lost their home, but were taken into a foster home to be retrained as necessary and placed in the right home for them. You may find a rescue near you starting at American Kennel Club - Breed Rescue The rescues charge a fee to help cover their expenses, but is much less than the price of a puppy plus all its medical expenses the first year.