In most photos, according to the subject and genre of photography which you choose, having sharper edges/details is desired, but I am not sure if there is a different process for different genres or not.
The short answer is: yes, sort of.
I don't think there's a absolute rule for sharpening in any given genre, but there are some rules of thumb that may get followed from time to time. For example:
However, I wouldn't probably spend a lot of time worrying about any of that too much. Like all forms of post processing, the best approach is to maximize your enjoyment of the image. Some times that may mean a lot of sharpening work, sometimes very little. I wouldn't let these ideas get in the way of making your photograph.
The question I linked to in the comments really does give you some good information that's going to apply in general. Couple that with the masking features of tools like Photoshop in order to apply your sharpening efforts to controlled areas is really what you need once you know what you want to sharpen and why.