It can in advanced caseas - from my personal experience: My gran had it for as long as I could remember. As she got older and her condition worsened she would have difficulty swallowing just about anything and we had to add thickening agents (even to her water) so she could.
This also might have been a side affect of her medication but I don't recall it happening earlier on the same meds.
Take this for what it's worth. Happy to be wrong, I know someone on HN will tell me lol
Checks out for my old man, but then again his disease's progression has been so wildly aggressive - at 64 his stage of the disease is more akin to what I'd always imagined for an 84-year-old - I suspect it's not even PD