Yes, they can. In 1901, science was not nearly as collaborative as it is today. Especially considering the need for a Nobel Prize to be experimental and the fact that most major labs today _need_ dozens of people.
He asked _can_ not _should_: what is the legal mechanism for doing so? Personally I don't doubt there is one but I don't think you know it off the top of your head, so I don't see it as fair to disparage OP for not knowing either.
Well, it seems like amendments have been made before. [0]
> Before the board ... votes on a proposal to amend the statutes ... with the first paragraph, the prize-awarding bodies shall examine the proposal.
Well, it seems like amendments have been made before. [0] > Before the board ... votes on a proposal to amend the statutes ... with the first paragraph, the prize-awarding bodies shall examine the proposal.