hydrogen is not needed for making sulphuric acid.First you have to make sulphur tri oxide then pass the gas in water then you will get sulphuric acid
Adding SO3 to water will result in an explosion, where the experimentor will be showered with hot sulphuric acid.
Instead, SO3 mucht be bubbled through conc H2SO4 to yield oleum, which can diluted with water to yield conc H2SO4.
Making SO3 is not easy, you can burn sulphur to yield SO2, let it react with a katalyst as V2O5 or Pt to SO3, but those processes are not easy, and will ask a lot of experiments. On sciencemadness there is a lot of info on this subject.
One of the possibilities is to burn xNO3 and S in a lead pot, yielding NO2 and SO2, where SO2 is oxidised to SO3 by the NO2, this can be done in a closed big pot, and is called the 'lead chamber process'. I've tried this myself, but I didn't yield anything. Be carefull though, NO2 is a very, very strong toxin, I've had a close encounter with it but I can not recommend it, it is really nasty s#*$ and you only have one pair of lungs!
There btw are way to dehydrate H2SO4 to SO3, but if you goal is making H2SO4 that is a bit useless...