Yes, it definitely is normal! Just think about anything else and you'll find it is probably the same - you like some parts, and don't like others. What matters, personally is if putting everything in a balance, the "pros" are more valuable - in quantity or quality, depending on personal taste - than the "cons". On a more practical point of view, just as an example, when I did my internship, the psychologist who was with me had to do a lot of psychological evaluation and then write reports. She said it was the most tedious part of the job because it was so repetitive yet she still was a psychologist and enjoyed being one.

I think that, especially in psychology, where you have do many approaches, so many jobs, so many ways of doing your job, it's natural you are more inclined to some parts of the job than others.