Student or Learner
They donned the air of the injured party.
Without context, what is your reading of this sentence?
They took on the posture of the victim.
A word related to don is doff - but while 'don' can be used figuratively (about a posture or attitude) 'doff' is chiefly (only?) used of clothes (particularly headgear); one might doff a cap or hat.
I suppose you can, in writing, to an educated reader, but generally, it won't work as an utterance, as it is sufficiently rare to be misunderstood. I've even heard "one's" is not strictly correct, and that we ought to choose his or hers.
Yeah. Also, "wearing" your ideas in English is pejorative. If you can don or doff them like a shirt, you are shallow and perhaps even a weathervane. I've heard expressions in the media like "he changes his ideas like he changes clothes" with this insulting meaning. So I don't think the proposed utterance is as potentially useful as it seems.