No, I would let a professional handle it. It may dry up and fall off on its own. I can't tell much from the photo on my phone, but the risk here is infection, so if it's starting to look moist, raw, etc., you're in better hands with a vet.
I had something similar happen with a male of mine. At first it was just a tail kink but then it became necrotic and very quickly ran up his tail. A good portion had to be amputated, and he's ok. But always better to have a vet involved.