E.B.
Yes you can cook a whole chicken in a crock pot.
You may see a lot of recipes online that tell you to make golf ball sized balls of aluminum foil to put under the chicken, or they'll try to sell you a fancy crock pot rack to set the chicken on. The reason is: it's best to not have the chicken sitting on the bottom of the slow cooker, where juices will accumulate. It can make that part of the chicken soggy.
But don't do the aluminum foil ball technique. Instead, get a couple of cheap sturdy thick carrots and lay them on the bottom of the crock pot. Use them to set the chicken on. They add flavor, and they're preferable (in my opinion) to aluminum foil. You can also use potatoes or thick celery stalks.
Important: make sure the chicken is patted dry. Use a paper towel to dry the skin.
So, the basic technique is:
Pat the chicken dry, make sure any giblets have been removed. Lightly season the skin with some paprika, or Montreal Steak Seasoning for Chicken, or just some salt. Lay the chicken on some big old carrots (or sturdy celery stalks, or even large chunks of potatoes) in the crock pot. Cook on low for 5 to 6 hours.
Use a meat thermometer to make sure the chicken has reached 165 degrees. Let the chicken rest at room temperature for 15 minutes. Don't slice it until then.
If you want more color on the skin (because regular crock pots won't brown things), pop the chicken under the broiler for 3 minutes or so until the skin becomes golden. Or just remove the skin and enjoy the chicken.