Edit: Random wikipedia page[1] gives energy density of "jet fuel" as 35 MJ/L and liquid (i.e., about as compressed as you're going to get) hydrogen as ... 8.5 MJ/L. Yeah, that's not even close, nevermind. LNG gets you to 22 MJ/L, which is still 2/3 of the density and requires storage at -160°C, which costs more energy, etc, and isn't clean-burning (but maybe slightly better than kerosene).
I don't know what the tradeoff is between volume and weight in aviation, but it's worth noting that we can measure density by both volume and weight, and by weight compressed hydrogen defeats kerosene.
One of the reasons why electric aircraft are currently very short range is that the best li ion batteries top out at 250Wh/kg.
[1]: https://nh3fuelassociation.org/wp-content/uploads/2012/05/le... [2]: https://asmedigitalcollection.asme.org/IMECE/proceedings-abs...