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"Given that this rise in pediatric COVID coincides with the vaccination push,"

A virus that happens to mutate in such a way as to more successfully invade a body's cells and make copies of itself will tend to spread more to other previously less vulnerable individuals.

"is it possible that vaccine shedding with its artificial spike protein is infecting the children of vaccinated parents and causing a cytokines storm the powers that be label multi system failure?"

An artificial spike protein, or in some cases, messenger RNA, will not replicate itself. Only the whole, live virus will do that. A small amount of parts of spike proteins or mRNA will only stay in part of a body, which will call antibodies to be produced against the inert spike protein. Shedding of antibodies won't hurt anyone else, but it won't be sizable enough to make others more immune, either. Those antibodies will only help the vaccinated person.