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The collision of two nuclei can certainly result in fission of one or both of the nuclei. However, the nuclei must be large enough and unstable enough to undergo fission.For instance, it is impossible for a hydrogen nucleus to undergo nuclear fission (there is only one proton). And while nuclei like that of 12C could hypothetically break into smaller pieces, this is highly unlikely because 12C is so stable.Realistically only nuclei heavier than iron are likely to undergo any type of fission event, and you still need a lot of energy. If your theory is about the early universe, you might want to rethink the importance of fission, because in the beginning there was really only hydrogen and helium. It is only through the action of stars and supernovae (over billions of years) that we have any heavier elements at all.