Well they are creating a device that triggers and can help to control lucid dreaming.... So... Uhh no this would have you dreaming that you are working for the full amount of time you are asleep basically
Unfortunately, that would not be very restful sleep.
Source: I have narcolepsy, which makes me spend way too much time in REM. In REM (where vivid dreams tend to happen), your brain activity is almost identical to being awake. Every stage of sleep is important, including REM, and without an appropriate amount you will be a zombie.