Yes. And yes, OCD can look similar I think (IANAP). Both are often anxiety driven. Try telling someone with OCD to put on their shoes quickly if they are paranoid there's a spider in them ...
Sure there might be some "pure" pda where it's 100% down to reacting against demands. But AFAIK it can be also driven by autism related anxieties ("I can't do that because for some reason it's freaking me out and I can't explain it, so I'll get mad and then think I'm mad because I don't want you ordering me around"). Or it's just "I didn't understand the first 16 times and now I'm mad that you're mad ..." which is more like pda as it's often described ... but is it always that?
OCD is often anxiety over specific fears ("if I do that I might make a mistake, and if I make a mistake it's the end of the world, so I'll get mad and think I'm mad because I don't want you ordering me around").
Anyone a bit "weird" can be reactive if you tell them something that seems reasonable to you but isn't reasonable to them.