Depends if the Corsican people want independence or not.
It's worth noting, though, that Corsica only became part of France in 1769, and that was done through outright aggressive conquest. Unlike in the cases of Scotland or Catalonia, neither the Corsican state or people were at all involved in the decision annexing the island to France, and they refused to give French rule any legitimacy for years afterwards until the defeat of Napoleon. Indeed, Napoleon himself was often reviled as a traitor on the island for all that he did to crush Corsican nationalism during the revolutionary period.