No, as long as it was published before you renamed it. A redirect is made at the moment you save and appears under Redirects, marked from a rename.
Rename the same page again and the first redirect follows the page rather than leaving a chain of two. When a page takes an address an earlier rename gave up, say two pages swap names or you publish a new page under an old name, the redirect for that address is deleted so the page answers there.
A redirect you wrote by hand is never overwritten by a rename, and neither is one a rename made that you have since pointed somewhere else.
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