Well, supposedly almost all hydrogen was made not long after the Big Bang went bang, with a tiny bit getting once in a while produced by the spontaneous formation of particle and anti-particle pairs, if I'm not mistaken.
Yeah, but then it combines with stuff and is no longer hydrogen. For example, a lot of it on earth is bound with oxygen in a from known as dihydrogen monoxide. You can input energy to separate the two hydrogen from the oxygen, but it's not freely available. This is a useful way to spend excess energy to store the energy for later or to move, but not if you don't have excess clean energy.
You can also get some from things like Methane (CH4, aka natural gas). This is how most of the gas companies are producing it, and it obviously isn't clean. They like to pretend it's clean by saying using the hydrogen just produces water, but obviously the hydrogen didn't just appear.
My favorite way to get hydrogen is mixing caustic soda, water and aluminum foil. Only cause I think it's funny you can get very explosive things from the grocery store