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No. A substitution can be to an entirely different alphabet. (As an example, read the Arthur Conan Doyle Sherlock Holmes "Case of the Dancing men.") One plaintext symbol can convert to several ciphertext symbols, or vice versa. For example, Morse Code is a form of substitution of alphabetic letters to dots and dashes. Two plaintext characters could map the same ciphertext character as long as the recipient could distinguish between the two.
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