Is there an easy way to make PVC from PVA? Say, I took Elmer's glue (or a similar Polyvinyl Acetate) and I inserted some Chlorine Tabs and warm it up while stirring.

Would the electronegative Chlorine turn some of it it into Polyvinyl Chloride (PVC)?

Would I get a Dioxin Compound too?

Would I get any other toxic Side-Product?
Choring Tablets have positivly charge cholrine atoms you want negative, so chlorine tablets will not work.  And no you won't get a dioxin compound unless you burn it, then you may ge some.  If you want to make PVC from PVA you can use Hydrochloric acid but you may not get a good yield.