Yes, absolutely. A hydrogen bomb is just a regular fission bomb with extra stuff (the fusion secondary), and the point of the extra stuff is mostly to generate a lot more neutrons to trigger even more fission in the fission core. The fission of U235 is what produces Cs-137 which is the most dangerous fallout product from a nuclear bomb, and a fusion bomb just produces more U235 fission than a fission bomb would on its own.
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