Absolutely, strong nitric acid will eventually deteriorate plastic caps, even those that are supposedly chemical proof. I have some in glass chemical storage bottles and I bought a whole pile of extra caps because I have to change them out every year or so. They get brittle, crack and fall apart. This is really strong nitric, probably 75% to 80% purity iirc.
I haven't bought it in at least 20 years, but I used to get it from a local pharmacist in a small pharmacy when I lived in NJ and he would get it for me from Malinkrodt (sp.?) in glass jars with plastic caps that would not deteriorate. So apparently they knew what plastic to use for the really strong stuff.