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Not sure if Magento includes the mentioned functionality. It seems to me that it is possible only to manually add custom options.
However, there is the application called Store manager for Magento, using which it is possible to copy custom options with values from one products and paste them to another.
There is also the option to import/export custom options and assign them in bulk to multiple products.
There is 2-weeks free working version of the application, so you can download it and try it out -
Let me know if you need an assistance.