From a limited collecting area, forget all biological processes.
Is hydrogen a definitive choice? You have to store energy to run the engine under clouds, and while a hydrogen bottle is possible, batteries are easier. In addition, feeding an engine with hydrogen is not trivial and the technology isn't available from the stores. Fuels cells would be more or less available.
For a science fair, you probably want to assemble existing parts, of which I can only imagine solar cells and electrolysis. Many other processes, often more efficient, have been investigated - things like photodissociation in several steps - but for a fair, would you invest months and years to reproduce a setup with uncertain results?
If using solar cells, the conversion to and from hydrogen is a serious roundabout.