Can? Sure. Should? No.
It's worthwhile remembering though that the people who get it aren't all saints. Although rape and sexual assault are particularly distasteful items to have on the resume, if the person repented and then contributed meaningfully to lasting world peace, they shouldn't automatically be stricken off the list.
So those admittedly distastefully liberal guidelines should exclude any current resident of the White House then.
I think they should ignore any person who is so publicly thirsty for it. It's a prize you get, not one you ask for.
It's unnerving having to read that the US ally Norway feels like they need to prepare for retaliatory tariff action if the independent committee for the award, that only ended up in Oslo by a quirk of Scandinavian history, doesn't award the prize to 47. Sad.
I think there biggest problem with sea water is dirt, not just the salt. So it's easier to waste drinking water on cooling the chips. The idea of a combination server farm and desalination plant is probably possible. Desalination is expensive though. I remember reading about Singapore's efforts. So this would have to be a big investment with profits pushed far back into a sustainable future. So if you're on the board and have this fiduciary responsibility to increase shareholder value you'll probably throw your hands up and give up at that point. Without governments making wasting drinking water on server cooling expensive, this plan will never even make it to the c-suite.