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Short vs sell

I bought 100 shares of stock X (long position). Now I want to open a short position of 100 shares in the same stock, but without selling any of the 100 shares I already own. Because a short position is registered as a negative amount of shares, the total position will be registered as 100 - 100 = 0 shares; but I would like to keep holding the original 100 shares and just get the money for the 100 shares that I ordered as a short position.
Is it possible to do it?