By definition, they can be synonyms. One of the definitions of 'study' is to learn about something. However, there is another definition of 'study' which means to investigate and/or read about something for the purpose of learning. If you learn something, then you know it, remember it and can use it. If you study something in the sense that we usually think of it - sitting and reading different books and articles - it could be that you don't learn it. If you study in this way when there is a distraction (the people upstairs are having a loud party), then you might not learn what you were studying. In this case, 'learning' and 'studying' would not be the same thing.

虽然这两个词有相似的意思,但有的时候用法不一样。一般说来 study 是一个过程， 一个活动，(学习)，而 learn 是一个结果， (学会)。有的时候 learn 也有学习的意思。 说到学语言, If we study English every day, we'll learn to speak the language. I can’t go out. I have to study. We go to school to learn, not to waste time. Do we have to study anything for class tomorrow? A wise man never stops learning. My experience in China was a good one. I learned a lot about the culture of the country.