Earlier quoted context omitted.
Sure you can. If you can't be professional in the workplace, take a damn day off. If you can't be professional in front of a crowd , then don't take the stage. Crying is for funerals. And national politics is for soapboxes, not for corporate presentations.
The fixation on crying in this thread is fascinating. If you feel like crying, but hold back, does that feeling just immediately disappear and you get on with your day? Of course not. You just bury the stress, and sooner or later it bubbles back up again in weird and unpredictable ways. Is crying at work more or less professional than having a panic attack at work and ending up hospitalised? Crying is just an express…
Anything else is likely to be disruptive to your coworkers.
I have a lot of empathy for people experiencing emotional distress, whatever the reason. I would never complain about them and would do my best to offer sympathy when appropriate. But I really shouldn't be put in that position at work, and if I was emotionally disturbed I would not come into work so as to avoid putting my coworkers in that position.
I think this is all doubly true if we're talking about the results of an election. Some of your coworkers may be happy for the same reason you're upset.