Yeah you can, but it takes a conscious effort.

Interestingly enough, I've reached my wits end with paruresis (shy bladder) and have stopped trying to pee in occupied public washrooms entirely. It's pointless. I won't be able to go. But I did find that if I just go to the stall and pretend I'm taking a shit, the pee flows like wine. Doesn't matter if there's one or several people in there. The real struggle is when the bathroom is initially empty, so I think I'll use the urinal after all. You bet your ass thirty guys walk in before I can start.

I have a real admiration for dudes who just piss, shit and fart freely in a public space. It must be positively liberating. Like a pack of ancient kings, burping and laughing and feasting on chicken.

Sure you can

Some people can, and those people should not be trusted

all poopoo times are peepee times but not all peepee times are poopoo times

Just cup your hands

Just last week I was pooping and when I was done I noticed that I didn't pee. It was weird. So somehow it is possible but I don't know how I did it. The mysteries of the human body.

I'm sitting on the toilet, I wish I read this about 2 minute ago

I can do both, but why would I do either?

You can poop and you can pee. But you can't pop and not pee.

I always say that around polite company and formal occasions.

Well, brown and yellow rarely pour out simultaneously.
Most people first get the crayon out then comes the juice.