Basic answer, no.
Less-basic answer:
there are many different kinds of plastic. “Plastic” is a whole range of polymeric molecules, long chained (and sometimes branched) molecules made from smaller molecules (their “monomers”). Different monomer combinations, and different molecule lengths, have different properties. Now, what I think you may have heard about regarding the dangers of plastic bottles is about the monomers “leeching out” into the water: synthesizing a polymer doesn’t produce perfectly-homogeneous chains (most uses do not need that, anyway) and it may leave a small amount of monomers or of short chains within the solid polymer. When people who don’t know their organic chemistry from their dictionary talk about “plastic dissolving”, what they’re talking about is these small chains or monomers escaping from the solid plastic into the liquid. While this is indeed a possibility, any polymer (plastic or not) used to contain items destined for human consumption (food, drinks, medication) is required by the laws of many countries to be monomer-free… that is, to contain nothing which can dissolve into its contents.