Assuming you do not need to spend any effort in actual survival:
The main difficulty will be is acquiring a source of metal.
You need metal for conductors in any form of inductive electricity generation, and to convey the electricity (wires)
However, your premise states "The island has every naturally occurring resource"
So there should be native copper, and magnetite rocks.
And let's assume we know where to get the materials!
Given this... I could have a pathetic little hand-driven generator running in 2 days.
Or in about 3 months I can have a stream dammed, with a water chute driving a basic waterwheel, turning a generator via direct drive. The axle is just a smoothed hardened treetrunk, greased by whatever.
The generator is just a bunch of magnetite rocks tied to the waterwheel, passing by a very simple coil of copper wire beaten from native copper.
The output is (very) low voltage AC at whatever frequency the magnetite chunks pass by the coil. Likely about 10Hz or slower, and under 5v.
But hey, it is electricity.
Without the native copper ore, or silver, or gold .... is there another metal ore that can be in native metal form, and is ductile enough that it can be formed into wire by physical shaping without melting?
Developing a metal smelting industry from the ground up is a very,very hard and timeconsuming task, requiring a detour through pottery, charcoal making, brickmaking and more.