In theory your fingers would get fused as long as the site is undisturbed, moist, and won't get infected. In fact, you can transplant almost any body part to anywhere else on the body because the body part only needs blood circulation to be healthy. It is done in cases where the site of an injury/disease temporarily can't sustain the limb, so the healthy part is transplanted somewhere else temporarily.

Here's an arricle about a case where they transplanted a hand to someones thigh: https://parjournal.net/article/view/62