This is a strange question but is the whole string considered a substring of itself? Ie: String "cheesecake" has a substring "cheesecake".
Does the original string count as a substring of itself?
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A string is a substring of itself. Wikipedia says the same.
Also, if you consider "string" as an amalgamation of set of characters, by definition of set - every set is a subset of itself.
Hence the answer - YES.
https://en.wikipedia.org/wiki/Substring