I did this with my First Aid wallet card (laminated it with a dry cotton ball stretched out and affixed to the back.

I have burnt these in the kitchen (on top of the stove, in a disposable aluminium pan, with the fan going) with no ill effects. The plastic does burn with a somewhat oily flame, but unless you're going to put your face directly over it and inhale it directly, I can't see how it would harm you.

This type of plastic is used for airline luggage tags; I imagine if burning it in large quantities was going to be toxic, it would have to have some sort of warning label on the package.