But from the perspective of feng shui, maybe. From the perspective of geomantic omen, the kitchen and the study should not and cannot appear in the same direction, because one should be in the master's evil position and the other should be in the auspicious position, so this northwest can only be one of your good luck or evil spirits, so I conclude that it can't be put together.
It depends on how this place landed, but it depends on your gender when you were born. In short, it won't work.