No! Where did you learn it? Neither "ты вы" nor "вы ты" combination is possible. They make absolutely no sense.
As other people noted, this word has an irregular pronunciation, so "ш" instead of "ч" is pronounced (although it is spelt "что"). However, it does not mean pronouncing "что" is impossible. We do have some other words with "чт" combination, where "ч" is "ч" and "т" is "т": чтить (verb, to honour, to revere), я чту (I honour), ты чтишь (you honour), он/она чтит (he/she honours), мы чтим (we honour), вы чтите (you honour), они чтут (they honour). Also "почта" (post, post-office, mail), "мачта" (mast, tower), "почти" (almost), "мечта" (dream) and many others.
BTW, what is your native language? I doubt if you can really pronounce "ы" between "ч" and "т"Quite a few languages have anything similar to our "ы".
I do not understand this logic. How did you come to this conclusion? There is absolutely no relation to the English "into".