Can a sick person do tayammum, put more than two prayers together, or pray in a dirty diaper?

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Check below answers in case you are looking for other related questions:
If he wakes up late and the water is cold, can he do tayammum?
How to do tayammum using stones

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Related Answers:
There is nothing wrong with a person who has done tayammum leading in prayer people who have done wudoo'
Praying on a plane when one is unable to stand or face the qiblah
He wakes up a quarter of an hour before sunrise and delays purifying himself because of waswaas; can he do tayammum?
If he wakes up late and the water is cold, can he do tayammum?
How to do tayammum using stones

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