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It is certainly permissible because outside of specific educational programs, there are no prohibitions on paragraph structure that would make it impermissible. That topic-sentence etc. model is si...
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#3: Attribution notice added
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#2: Initial revision
It is certainly permissible because outside of specific educational programs, there are no prohibitions on paragraph structure that would make it impermissible. That topic-sentence etc. model is simply a particular systems of training wheels and there are innumerable good paragraphs that don't fit the model. Indeed, writing would be tedious if they did. In particular, summarizing points in a concluding sentence is laborious and unnecessary most of the time. Paragraphing today has more to do with the ergonomics of reading (breaking up long paragraphs for readability) than the structure of argument. And, finally, note that this paragraph is an example of the kind of paragraph you are describing.