Of course. Postscript was turing complete, which makes it problematic for document interchange and printing, so they restricted it and called the result “pdf”.

At some point people realized they couldn’t embed arbitrary scripts in pdf files, so they added JavaScript.

Now we have the best of both worlds. It makes perfect sense if you think about it(?)

Oh how I envy your ignorance... :)

Jokes aside, yes, we certainly do, and it is every bit is horrible as you might imagine and then some. I've seen people basically re-create spreadsheets in it, with the not entirely unexpected effect of updating the values taking up to 20 seconds.

We have for a long time, except it was called "ActionScript", and was used for another Adobe product: Flash animations.