I have a friend who suffers from many allergies. Coconut is one of his deadliest. He once was hospitalized because somebody standing 10 feet away from him had washed his hair using coconut shampoo.
About 95% of the soaps in the world, he says, contain coconut, and the 5% that don’t, he says, can’t kill COVID germs effectively. Is there one out there that does? His hands bleed when he uses coconut soap, but “better that than getting covid.” He’s got so many pre-existing conditions that he’s terrified if he gets it, he’ll die from it.
Hand sanitizer to kill the virus followed by whatever soap he can tolerate should more than do the job between messing up the virus and mechanical removal of its remains.
I suspect that soaps he can tolerate will work just fine, but not being familiar with his conditions or what soaps he can use I hesitate to state that as fact.
Glycerin soaps still require an origin for the oil from which the glycerin comes, and that could be olive oil or coconut oil which could potentially trigger an allergy.
“Hypoallergenic” is not a guarantee that no one could have an allergic reaction to it, just that it’s highly unlikely. Nonetheless, as someone for whom Vaseline Intensive Care Lotions generate a bright red, itchy rash I am proof that you can still have a reaction to something labeled “hypoallergenic”.
If the person in the OP can find a glycerin soap that is NOT sourced from either coconut or olive oil that might well work for his/her purposes.
If this is literally true (a smell from 10 feet away sent him to the hospital) then your friend is so fragile that I doubt we could ever offer any useful advice.
But, why doesn’t this person just use whatever soap they already use? Presumably, this person has had to take major precautions in regards to their lifestyle for years; why is it different now? If the concern is that their special medicated soap doesn’t work to protect against the transmission of viruses, comfort them by telling them that - assuming it is indeed soap - they are mistaken.
There are alternatives but different oils have different properties that need to be balanced so the soap is not too drying and the bar is sufficiently hard. If you can find a small batch artisanal soap maker (there are lots on places like etsy) they might be able to work with whatever oils your friend can tolerate. Might not be cheap, though.
Almost certainly though their equipment will have processed olive and coconut oils.
Palm oil might be an alternative but the sustainable stuff is somewhat pricey.
I have made soap at home. It does take some research and investment in equipment but it’s very much doable. You do need to be careful with lye. It will be harder in a home with pets or small children. I gave it up when I got cats.
Your comment was “still has soap in it” which doesn’t make any sense. But to your actual point, here is a commercially available “Pure Glycerine Soap” which contains Sodium Cocoate, which I assume will kill our OP’s friend. Any hypoallergenic soap should work.
“Pure glycerin soap” still has soap in it. Adding UHP synthetic glycerol isn’t going to help anyone.