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Nano S are known to have a display unit that fails by becoming very dim or completely dead / dark.
You can check by connecting the ledger to your computer. If you hear a „dong“ sound or see the ledger in the connected devices list, that mean that the ledger works, and just its screen is dead.
You can also try connecting it in a completely dark room, and you may be able to see the very dim ledger screen
Replacing the screen on the nano s is easy and does not require any special tool. There are youtube video tutorials.
Replacement screen for the nano s cost less than $4 on aliexpress:
https://www.aliexpress.us/item/3256805237655177.html
Or you could just buy another ledger and enter your 24 word recovery / seed phrase in it. If you opt for this solution, you should probably buy a Nano S-plus , as they have more memory so they can support mire cryptos apps installed at the time.