Officials here are not responsible for eligibility issues.
A couple of times I have had a coach complain that an opposing plsyer has exceeded the playing limit - I simply tell them that it's not in our area of responsibility and they need to have their AD file a complaint with the state associaion.
To answer the OP's question, there is not an NFHS rule that would justify allowing the late reporting sub at the expense of a T. The only option is using a time out as Rich suggested. If they don't have any time outs left, they can buy one at the expense of a T.
That said, as Rich and Adam said I would probably allow the sub if they reported before the end of the intermission between quarters.
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Meddle not in the affairs of dragons - for thou art crunchy and taste good with ketchup!
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