Sure, in the downtown commercial areas. Every city I know of does not allow those skyscrapers to have apartments for rent, it is all for offices. (this is one of the reasons nobody in the US walks to work: there is no legal way to get a place to live near work for most people)

Note that a skyscraper is probably expensive enough to build that they would not put tiny apartments in it anyway, but the more moderate sized buildings downtown could be a mix of apartments and offices resulting in a usable city.