True domestication of an animal takes a couple generations of breeding for the weakest flight or fight responses to get the most docile animal possible. But I've tried to temporary take care of a wild animal during the summer at my grandparents' farm when I was younger. Most of the time, they were frogs. The irrigation runoff from their crops would create pools for frogs to have their eggs and we would catch them and watch them hatch. As they grow up, we would play with the frogs and try to train them to sumo wrestle each other or race. Ultimately though they would just leave or we would have to let them go before the cats ate them.
The only other wild animal I've ever tried to take care of was an injured robin. Its wing was broke and I had put the bird in the garage to ask my mom if we could take it to the veterinarian. My mom came back late that night and when she asked to see the bird, the bird was already dead. So I accidentally killed a bird I tried to save. Ever since then, I've had a hands off policy with wild animals. Unless you can take them to a vet immediately and only plan to temporarily take care of them, you shouldn't handle them.
