It's called a Hydrogen Fuel Cell and you can't even mention it without Tesla owners and the environmental lobby screeching in outrage.
A hydrogen fuel cell is just one type of battery. It's a crappy type of battery because it's a monumentally wasteful way of transferring energy from one place to another. "The environmental lobby" you refer to is right about it. Wrong about many things, but right about this.
Advocates of fuel cells like to view the final energy conversion process alone, but that is just plain wrong. Even that part isn't very good in terms of efficiency, but it is the best part. The rest is far, far worse. Firstly, there's obtaining elemental hydrogen in the first place. Sure, hydrogen is superabundant pretty much everywhere. But it's all bonded to other elements. Breaking that bond requires far more energy than you get from running the hydrogen through a fuel cell - it's an extremely inefficient form of energy transportation. But that's only the start of it. You have to move the hydrogen from where it's manufactured to refuelling stations, which requires more energy. In addition, there's the issue of storing hydrogen. Its density at atmospheric pressure and temperature is so low that it's ludicrously impractical to store it, so it either has to be stored under very high pressure or at very low temperature. Both require even more energy and introduce additional hazards. On top of that, it's fundamentally difficult to store hydrogen at all because it seeps through most containers and damages many materials. It's fundamentally easier and more efficient to move energy in the form of electricity than in the form of hydrogen. Finally, there's the requirement for rare materials for catalysts, which would prevent hydrogen fuel cells from being used on a large scale anyway even if all the other problems somehow disappeared.
There are some theoretically possible scenarios in which hydrogen fuel cells would be viable, but they don't exist in practice and might never do. You'd need such an abundance of surplus electricity that you don't have to care about wasting loads of it on manufacturing elemental hydrogen, maintaining it at extremely low temperatures all the time and pumping it around. Even if you somehow discovered a far less inefficient way of breaking the bonds between hydrogen and other elements, you'd still need a big surplus of electricity to waste on maintaining huge quantities of hydrogen at very low temperatures all the time and pumping it around. That sort of scenario might exist as a side effect of practical nuclear fusion, if that ever exists. Even in such a favourable hypothetical scenario, what would be the point? It's just another type of battery and not a very good one at that. Why create a massive infrastructure for it when there's already one that works for moving electricity around in the form of electricity?
Hydrogen fuel cells are like flying cars - great for sci-fi programs with enough suspension of disbelief but not a good idea in the real world.
I'd actually like to go in a different direction to the OP. Sub-orbital flights would be fantastic and I'd love to see them. But what I'd love to see would be airships. Sure, you'd take a whole day to get to the East Coast, but you'd be doing it in something the equivalent of a cruise ship. Imagine travelling to America or the near East not in a cramped little seat but in a small cabin with a bed and a desk. Or having a small café / restaurant on board. Imagine being able to go outside and have a walk around during your flight. Airships are much slower than jets. But they have tremendous load capacity and are far more economical. Or would be at scale. They also have a valuable potential niche in freight. Various people have taken a crack at getting airships going again but getting investment is hard. The Hindenburg really altered the course of history for the worse, imo.
That's an interesting idea. I think it could be sold as a luxury. Not just in the obvious terms of the conditions during the flight, but also in terms of the time taken. The much longer flight time could be marketed as a status symbol - you're rich enough to not have to hurry. On shorter flights in many areas it could be pitched against driving. I think that would fly very well (every pun intended!) in places where relatively long journeys by car aren't particularly rare. The USA, for example. The travel time would be comparable but the airship could be a much more comfortable way to travel. The airship would be a bit faster, but there would be some additional travel time to and from airship ports. Generally comparable overall, I think.
I think airships are arguably more viable than sub-orbital hypersonic flights. Sure, they reduce the
flight time a fair bit, but they reduce the
travel time by a much smaller proportion. You still have to travel from where you are to the airport, go through all the embarking procedure, go through all the disembarking procedure and travel from the airport to where you want to go. If it's urgent, well, use video conferencing instead. That's vastly faster. So where's the market? That's largely why we don't still have supersonic passenger flight. We used to (Concorde) and we easily could again, but it's not worth it.