I think it’s pretty safe to say that there are no uncharted islands which provide enough food and fresh water to sustain a person for any length of time.
There are a few places that are not regularly visited. The French Southern and Antarctic Lands, including Kerguelen (a.k.a. Desolation) Island have fewer than 100 inhabitants, all researchers. Kerguelen is actually several hundred small rocky islands, separated by deep inlets and fjords, and shrouded in fog. Conceivably, someone could be stranded on an islet only a few miles from the research station and not be noticed.
But those are cold, nasty islands. If you want an isolated desert island, Howland Island might be a candidate, but it is visited annually by the US Fish and Wildlife Service.
Inaccessible Island, in the South Atlantic, is just that. It is surrounded on all sides by a several-hundred foot high cliff. One might bail out from a plane and wind up high and dry on Inaccessible. However, it is within sight of Tristan da Cunha, so smoke signals might be sighted.
One might argue that the two biologists on the French Frigate Shoals are only a budget cut or two away from being stranded, but we already know they’re there.
There are thousands, maybe tens of thousands, of islets surrounding larger islands which are uninhabited and which for one reason or another might be dangerous to leave because of currents, fog, wind, and other environmental factors. Some probably go for long periods of time without being visited, but the castaway could likely see neighboring islands. Many could probably support one or two humans for an unlimited length of time.
However, people inhabiting those places seem to not want to be discovered. I visited one islet off of St. Thomas (Big Brass?) which had a small community of recluses who politely asked with a posted sign that boat-going beachcombers not bother them inland.
Perhaps more important, when I visited that place I did not see anyone there and aside from a few beach chairs, little evidence that anyone had been there. The biggest problem of the castaway might not be having the island visited, but spotting the visitor and getting that visitor’s attention before they leave again.