From what I could tell in the video, bisphenol a's a petroleum derivative that is used to harden polycarbonates. The other one, pthalates (also a petroleum derivative) is used to soften PVC. So technically, not made out of plastic, but used to make plastic.

Edit: Realized I misread your comment. Yes, the problem is with some plastic products, which use these chemicals (but not all, since the video mentioned that one hospital using safe plastic products).