Harold Bloom has not had a major direct influence on the study of science fiction. His focus was on other areas of literature. But his ideas about the importance of certain literary elements such as character, plot, and theme can be considered when studying science fiction. For instance, in science fiction, the character's reaction to a new technological or alien environment can be seen as an important aspect of character development, similar to how Bloom emphasized character in his literary analysis. Moreover, the overarching themes in science fiction, like the relationship between man and machine, can be studied using some of Bloom's approaches to understanding themes in traditional literature.
Harold Bloom's influence on the study of science fiction is rather limited in a direct sense. His work was mostly preoccupied with traditional literary works. However, his concepts of the anxiety of influence could potentially be relevant. In science fiction, new authors are constantly influenced by previous works, and the way they deal with this influence can be analyzed in a way similar to how Bloom analyzed it in traditional literature. Also, his ideas about how to categorize and rank works could be used as a starting point to think about the hierarchy of important science fiction works, although this is not a common approach in the field.
Harold Bloom may not have had a direct influence on the study of science fiction. His work was mainly centered around classic literature. But indirectly, his ideas about literary canons and how to analyze literature might be applied to science fiction studies. For example, his methods of close reading could be used to understand the themes and motifs in science fiction novels.