You should be aware that such a hike is tiring. We walked 6 to 12 hours per day. It can also be dangerous. Corsica is renowned for the ease with which one gets lost in its maquis. Water can be scarce.
Forests often catch fire.
And, like in any mountainous area, accidents can happen while the nearest help is hours or days away. I'm not trying to make it sound like hell, but I want to make sure you know about these caveats. If you have never hiked before, try for something more civilized, like the GR20. Corsican hospitality Corsican people are said to be proud. They are also said not to like strangers.