Can you get sick from eating off of melted styrofoam??

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Yesterday at work I ordered out chinese food. When it arrived it was very hot but I never thought it would burn through the bottom of the styrofoam container it came in. I had ordered sweet and sour chicken. I after I had already eaten some of the chicken i noticed the pieces I had already eaten were right onto of where it had burned through. I then just ate other peieces that were not when it had burned through and I thought I would be fine. Not too long after I ate my dinner I started to feel sick. I got very dizzy and I felt like I was either going to pass out or vomit. I don't know if this was a random stomach bug or if there is anyway this could have been the chemicals in the styrofoam that melted on my food getting me sick. Does anyone know if this is possible?