No it is not. The mice on St. Kilda did not evolve into a new subspecies, they were a population introduced by humans. St. Kilda is a tiny 3.3 square mile island in the North Atlantic Ocean. A tiny area such as that probably cannot support a large population of introduced mammals without assistance, yes, but this is one example out of literal hundreds, if not thousands of introduced populations. We could equally look at Gough Island in the South Atlantic, which is a larger island (35sqmi) that also has little to no human population remaining. Yet here we see a flourishing population of House Mice, which have been so successful that they've begun to undergo island gigantism. Their continued existence and subsequent evolution has nothing to do with humans, as the population is self-sufficient without them.
~Thylo