He163 and Me262 were both jet aircraft. They may have carried H2O2 as some auxiliary fuel, I suppose. I can't see a `rocket-propelled fighter' being very practical: it would be in-theatre swiftly, out-of-theatre equally swiftly, and be out of juice shortly thereafter.
Having watched that used on a cut on my leg once, as a kid, I've an idea of that experience etched (NPI) on my memory.