LSD (acid) has already been metabolized by the time it exits your body through sweat. You would have to ingest a ridiculous amount of LSD for it to even be present in sweat. A few drops of acid as metabolized into hundreds of drops of sweat comes out to a negligible amount leftover, if any.
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Quite simply, yes. However, the bioavailability is very low, meaning that it is terribly inefficient way to deliver LSD to the brain.