Depends on the desalination method. If there’s no added chemicals, or if they removed them prior, I’d assume it’s feasible. After all, ancient times used to just evaporate seawater and get salt from it.
It might just be an economic problem. Questions such as where are you going to get land for creating huge evaporation pools, is it worth the yield of table salt, etc.
At least it does mean your cat can never turn off your pc ever again with this