Depends on what you mean by "healthy". There's no problems with fumes from the acid itself, but there are many things it reacts with where one of the products is sulfur dioxide gas, which is toxic.
Also, sulfuric acid cause extremely nasty burns on the skin and can explode if added to water too quickly. NEVER do it the other way round and add water to the acid.
You should never handle sulfuric acid of this strength anywhere unless you really know what you're doing.