Yes, a kitchen can certainly be located in the southwest corner of a house. The placement of a kitchen within a house is primarily determined by the overall design and layout of the property, as well as factors such as plumbing and electrical requirements.
While there are certain traditional guidelines and principles in practices like Feng Shui that suggest specific placements for different rooms in a house, it's important to note that these are not strict rules and can be adapted to suit individual preferences and needs. In modern home design, the location of the kitchen is often based on practicality, functionality, and the available space within the house.
If you have concerns about the placement of your kitchen in the southwest corner, you can consult with a professional designer or a Feng Shui expert who can provide guidance on optimizing the energy flow and balance within your home. Ultimately, the layout and arrangement of your kitchen should be based on your personal preferences and requirements, while also considering any cultural or design principles that are important to you.